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Finding the Fourth Proportional to 101,706.11, 140,362.72 and 56,398.30

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Solution

The fourth proportional to 101,706.11, 140,362.72 and 56,398.30 is: 77,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,706.11 : 140,362.72 = 56,398.30 : x
  2. Step 2: Convert to fraction form
    101,706.11/140,362.72 = 56,398.30/x
  3. Step 3: Cross multiply
    101,706.11x = 140,362.72 × 56,398.30
  4. Step 4: Simplify right side
    101,706.11x = 7,916,218,299.47
  5. Step 5: Solve for x
    x = 7,916,218,299.47/101,706.11
  6. Step 6: Final answer
    x = 77,834.25

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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.