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Finding the Fourth Proportional to 61,431, 84,712.14 and 57,859.80

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Solution

The fourth proportional to 61,431, 84,712.14 and 57,859.80 is: 79,787.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,431 : 84,712.14 = 57,859.80 : x
  2. Step 2: Convert to fraction form
    61,431/84,712.14 = 57,859.80/x
  3. Step 3: Cross multiply
    61,431x = 84,712.14 × 57,859.80
  4. Step 4: Simplify right side
    61,431x = 4,901,427,477.97
  5. Step 5: Solve for x
    x = 4,901,427,477.97/61,431
  6. Step 6: Final answer
    x = 79,787.53

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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.