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Finding the Fourth Proportional to 101,507.47, 152,275.80 and 31,392.25

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Solution

The fourth proportional to 101,507.47, 152,275.80 and 31,392.25 is: 47,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,507.47 : 152,275.80 = 31,392.25 : x
  2. Step 2: Convert to fraction form
    101,507.47/152,275.80 = 31,392.25/x
  3. Step 3: Cross multiply
    101,507.47x = 152,275.80 × 31,392.25
  4. Step 4: Simplify right side
    101,507.47x = 4,780,279,982.55
  5. Step 5: Solve for x
    x = 4,780,279,982.55/101,507.47
  6. Step 6: Final answer
    x = 47,092.89

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1.5x scale

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.