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Finding the Fourth Proportional to 91,842.60, 137,712.12 and 31,842.93

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Solution

The fourth proportional to 91,842.60, 137,712.12 and 31,842.93 is: 47,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,842.60 : 137,712.12 = 31,842.93 : x
  2. Step 2: Convert to fraction form
    91,842.60/137,712.12 = 31,842.93/x
  3. Step 3: Cross multiply
    91,842.60x = 137,712.12 × 31,842.93
  4. Step 4: Simplify right side
    91,842.60x = 4,385,157,397.31
  5. Step 5: Solve for x
    x = 4,385,157,397.31/91,842.60
  6. Step 6: Final answer
    x = 47,746.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.