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Finding the Fourth Proportional to 238,543.20, 357,678.72 and 98,134.56

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Solution

The fourth proportional to 238,543.20, 357,678.72 and 98,134.56 is: 147,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,543.20 : 357,678.72 = 98,134.56 : x
  2. Step 2: Convert to fraction form
    238,543.20/357,678.72 = 98,134.56/x
  3. Step 3: Cross multiply
    238,543.20x = 357,678.72 × 98,134.56
  4. Step 4: Simplify right side
    238,543.20x = 35,100,643,808.56
  5. Step 5: Solve for x
    x = 35,100,643,808.56/238,543.20
  6. Step 6: Final answer
    x = 147,145.86

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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.