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Finding the Fourth Proportional to 238,671.57, 357,978.20 and 98,411.97

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Solution

The fourth proportional to 238,671.57, 357,978.20 and 98,411.97 is: 147,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,671.57 : 357,978.20 = 98,411.97 : x
  2. Step 2: Convert to fraction form
    238,671.57/357,978.20 = 98,411.97/x
  3. Step 3: Cross multiply
    238,671.57x = 357,978.20 × 98,411.97
  4. Step 4: Simplify right side
    238,671.57x = 35,229,339,386.99
  5. Step 5: Solve for x
    x = 35,229,339,386.99/238,671.57
  6. Step 6: Final answer
    x = 147,605.93

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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.