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Finding the Fourth Proportional to 97,781.30, 134,938.25 and 53,069.30

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Solution

The fourth proportional to 97,781.30, 134,938.25 and 53,069.30 is: 73,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,781.30 : 134,938.25 = 53,069.30 : x
  2. Step 2: Convert to fraction form
    97,781.30/134,938.25 = 53,069.30/x
  3. Step 3: Cross multiply
    97,781.30x = 134,938.25 × 53,069.30
  4. Step 4: Simplify right side
    97,781.30x = 7,161,078,470.73
  5. Step 5: Solve for x
    x = 7,161,078,470.73/97,781.30
  6. Step 6: Final answer
    x = 73,235.66

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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.