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Finding the Fourth Proportional to 238,561.62, 357,886.28 and 78,646.96

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Solution

The fourth proportional to 238,561.62, 357,886.28 and 78,646.96 is: 117,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,561.62 : 357,886.28 = 78,646.96 : x
  2. Step 2: Convert to fraction form
    238,561.62/357,886.28 = 78,646.96/x
  3. Step 3: Cross multiply
    238,561.62x = 357,886.28 × 78,646.96
  4. Step 4: Simplify right side
    238,561.62x = 28,146,667,947.71
  5. Step 5: Solve for x
    x = 28,146,667,947.71/238,561.62
  6. Step 6: Final answer
    x = 117,984.90

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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.