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Finding the Fourth Proportional to 157,842.42, 217,818.95 and 86,222.76

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Solution

The fourth proportional to 157,842.42, 217,818.95 and 86,222.76 is: 118,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,842.42 : 217,818.95 = 86,222.76 : x
  2. Step 2: Convert to fraction form
    157,842.42/217,818.95 = 86,222.76/x
  3. Step 3: Cross multiply
    157,842.42x = 217,818.95 × 86,222.76
  4. Step 4: Simplify right side
    157,842.42x = 18,780,951,049.30
  5. Step 5: Solve for x
    x = 18,780,951,049.30/157,842.42
  6. Step 6: Final answer
    x = 118,985.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.