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Finding the Fourth Proportional to 136,885.87, 205,191.51 and 56,814.94

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Solution

The fourth proportional to 136,885.87, 205,191.51 and 56,814.94 is: 85,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,885.87 : 205,191.51 = 56,814.94 : x
  2. Step 2: Convert to fraction form
    136,885.87/205,191.51 = 56,814.94/x
  3. Step 3: Cross multiply
    136,885.87x = 205,191.51 × 56,814.94
  4. Step 4: Simplify right side
    136,885.87x = 11,657,943,329.16
  5. Step 5: Solve for x
    x = 11,657,943,329.16/136,885.87
  6. Step 6: Final answer
    x = 85,165.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.