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Finding the Fourth Proportional to 101,870.60, 152,805.96 and 31,749.84

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Solution

The fourth proportional to 101,870.60, 152,805.96 and 31,749.84 is: 47,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,870.60 : 152,805.96 = 31,749.84 : x
  2. Step 2: Convert to fraction form
    101,870.60/152,805.96 = 31,749.84/x
  3. Step 3: Cross multiply
    101,870.60x = 152,805.96 × 31,749.84
  4. Step 4: Simplify right side
    101,870.60x = 4,851,564,781.05
  5. Step 5: Solve for x
    x = 4,851,564,781.05/101,870.60
  6. Step 6: Final answer
    x = 47,624.78

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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.