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Finding the Fourth Proportional to 101,711.11, 140,369.64 and 56,403.30

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Solution

The fourth proportional to 101,711.11, 140,369.64 and 56,403.30 is: 77,841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,711.11 : 140,369.64 = 56,403.30 : x
  2. Step 2: Convert to fraction form
    101,711.11/140,369.64 = 56,403.30/x
  3. Step 3: Cross multiply
    101,711.11x = 140,369.64 × 56,403.30
  4. Step 4: Simplify right side
    101,711.11x = 7,917,310,915.81
  5. Step 5: Solve for x
    x = 7,917,310,915.81/101,711.11
  6. Step 6: Final answer
    x = 77,841.16

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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.