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Finding the Fourth Proportional to 101,710.11, 140,368.26 and 56,402.30

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Solution

The fourth proportional to 101,710.11, 140,368.26 and 56,402.30 is: 77,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,710.11 : 140,368.26 = 56,402.30 : x
  2. Step 2: Convert to fraction form
    101,710.11/140,368.26 = 56,402.30/x
  3. Step 3: Cross multiply
    101,710.11x = 140,368.26 × 56,402.30
  4. Step 4: Simplify right side
    101,710.11x = 7,917,092,360.08
  5. Step 5: Solve for x
    x = 7,917,092,360.08/101,710.11
  6. Step 6: Final answer
    x = 77,839.78

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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.