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Finding the Fourth Proportional to 124,909.50, 187,364.10 and 31,415.24

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Solution

The fourth proportional to 124,909.50, 187,364.10 and 31,415.24 is: 47,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,909.50 : 187,364.10 = 31,415.24 : x
  2. Step 2: Convert to fraction form
    124,909.50/187,364.10 = 31,415.24/x
  3. Step 3: Cross multiply
    124,909.50x = 187,364.10 × 31,415.24
  4. Step 4: Simplify right side
    124,909.50x = 5,886,088,168.88
  5. Step 5: Solve for x
    x = 5,886,088,168.88/124,909.50
  6. Step 6: Final answer
    x = 47,122.82

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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.