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Finding the Fourth Proportional to 103,205.80, 142,425.48 and 77,318.48

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Solution

The fourth proportional to 103,205.80, 142,425.48 and 77,318.48 is: 106,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,205.80 : 142,425.48 = 77,318.48 : x
  2. Step 2: Convert to fraction form
    103,205.80/142,425.48 = 77,318.48/x
  3. Step 3: Cross multiply
    103,205.80x = 142,425.48 × 77,318.48
  4. Step 4: Simplify right side
    103,205.80x = 11,012,121,626.87
  5. Step 5: Solve for x
    x = 11,012,121,626.87/103,205.80
  6. Step 6: Final answer
    x = 106,700.61

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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.