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Finding the Fourth Proportional to 101,711.29, 140,364.99 and 56,386.57

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Solution

The fourth proportional to 101,711.29, 140,364.99 and 56,386.57 is: 77,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,711.29 : 140,364.99 = 56,386.57 : x
  2. Step 2: Convert to fraction form
    101,711.29/140,364.99 = 56,386.57/x
  3. Step 3: Cross multiply
    101,711.29x = 140,364.99 × 56,386.57
  4. Step 4: Simplify right side
    101,711.29x = 7,914,700,334.18
  5. Step 5: Solve for x
    x = 7,914,700,334.18/101,711.29
  6. Step 6: Final answer
    x = 77,815.36

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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.