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Finding the Fourth Proportional to 101,778.48, 152,693.76 and 31,658.40

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Solution

The fourth proportional to 101,778.48, 152,693.76 and 31,658.40 is: 47,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,778.48 : 152,693.76 = 31,658.40 : x
  2. Step 2: Convert to fraction form
    101,778.48/152,693.76 = 31,658.40/x
  3. Step 3: Cross multiply
    101,778.48x = 152,693.76 × 31,658.40
  4. Step 4: Simplify right side
    101,778.48x = 4,834,040,131.58
  5. Step 5: Solve for x
    x = 4,834,040,131.58/101,778.48
  6. Step 6: Final answer
    x = 47,495.70

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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.