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Finding the Fourth Proportional to 86,980, 120,032.40 and 47,236

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Solution

The fourth proportional to 86,980, 120,032.40 and 47,236 is: 65,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,980 : 120,032.40 = 47,236 : x
  2. Step 2: Convert to fraction form
    86,980/120,032.40 = 47,236/x
  3. Step 3: Cross multiply
    86,980x = 120,032.40 × 47,236
  4. Step 4: Simplify right side
    86,980x = 5,669,850,446.40
  5. Step 5: Solve for x
    x = 5,669,850,446.40/86,980
  6. Step 6: Final answer
    x = 65,185.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.