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Finding the Fourth Proportional to 86,202,381.80, 120,985,665.40 and 86,202,381.80

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Solution

The fourth proportional to 86,202,381.80, 120,985,665.40 and 86,202,381.80 is: 120,985,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,202,381.80 : 120,985,665.40 = 86,202,381.80 : x
  2. Step 2: Convert to fraction form
    86,202,381.80/120,985,665.40 = 86,202,381.80/x
  3. Step 3: Cross multiply
    86,202,381.80x = 120,985,665.40 × 86,202,381.80
  4. Step 4: Simplify right side
    86,202,381.80x = 10,429,252,521,137,850
  5. Step 5: Solve for x
    x = 10,429,252,521,137,850/86,202,381.80
  6. Step 6: Final answer
    x = 120,985,665.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.