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Finding the Fourth Proportional to 145,781.76, 217,873.92 and 106,421.76

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Solution

The fourth proportional to 145,781.76, 217,873.92 and 106,421.76 is: 159,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,781.76 : 217,873.92 = 106,421.76 : x
  2. Step 2: Convert to fraction form
    145,781.76/217,873.92 = 106,421.76/x
  3. Step 3: Cross multiply
    145,781.76x = 217,873.92 × 106,421.76
  4. Step 4: Simplify right side
    145,781.76x = 23,186,526,024.50
  5. Step 5: Solve for x
    x = 23,186,526,024.50/145,781.76
  6. Step 6: Final answer
    x = 159,049.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.