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Finding the Fourth Proportional to 52,656.88, 72,660 and 31,432

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Solution

The fourth proportional to 52,656.88, 72,660 and 31,432 is: 43,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,656.88 : 72,660 = 31,432 : x
  2. Step 2: Convert to fraction form
    52,656.88/72,660 = 31,432/x
  3. Step 3: Cross multiply
    52,656.88x = 72,660 × 31,432
  4. Step 4: Simplify right side
    52,656.88x = 2,283,849,120
  5. Step 5: Solve for x
    x = 2,283,849,120/52,656.88
  6. Step 6: Final answer
    x = 43,372.28

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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.