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Finding the Fourth Proportional to 102,064.14, 153,062.16 and 42,888.78

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Solution

The fourth proportional to 102,064.14, 153,062.16 and 42,888.78 is: 64,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,064.14 : 153,062.16 = 42,888.78 : x
  2. Step 2: Convert to fraction form
    102,064.14/153,062.16 = 42,888.78/x
  3. Step 3: Cross multiply
    102,064.14x = 153,062.16 × 42,888.78
  4. Step 4: Simplify right side
    102,064.14x = 6,564,649,306.56
  5. Step 5: Solve for x
    x = 6,564,649,306.56/102,064.14
  6. Step 6: Final answer
    x = 64,318.86

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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.