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Finding the Fourth Proportional to 101,865.60, 152,812.80 and 31,737.60

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Solution

The fourth proportional to 101,865.60, 152,812.80 and 31,737.60 is: 47,610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,865.60 : 152,812.80 = 31,737.60 : x
  2. Step 2: Convert to fraction form
    101,865.60/152,812.80 = 31,737.60/x
  3. Step 3: Cross multiply
    101,865.60x = 152,812.80 × 31,737.60
  4. Step 4: Simplify right side
    101,865.60x = 4,849,911,521.28
  5. Step 5: Solve for x
    x = 4,849,911,521.28/101,865.60
  6. Step 6: Final answer
    x = 47,610.89

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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.