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Finding the Fourth Proportional to 103,159.64, 142,367.15 and 57,840.55

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Solution

The fourth proportional to 103,159.64, 142,367.15 and 57,840.55 is: 79,823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,159.64 : 142,367.15 = 57,840.55 : x
  2. Step 2: Convert to fraction form
    103,159.64/142,367.15 = 57,840.55/x
  3. Step 3: Cross multiply
    103,159.64x = 142,367.15 × 57,840.55
  4. Step 4: Simplify right side
    103,159.64x = 8,234,594,046.62
  5. Step 5: Solve for x
    x = 8,234,594,046.62/103,159.64
  6. Step 6: Final answer
    x = 79,823.79

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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.