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Finding the Fourth Proportional to 238,117.58, 357,083.28 and 86,278.59

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Solution

The fourth proportional to 238,117.58, 357,083.28 and 86,278.59 is: 129,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,117.58 : 357,083.28 = 86,278.59 : x
  2. Step 2: Convert to fraction form
    238,117.58/357,083.28 = 86,278.59/x
  3. Step 3: Cross multiply
    238,117.58x = 357,083.28 × 86,278.59
  4. Step 4: Simplify right side
    238,117.58x = 30,808,641,910.98
  5. Step 5: Solve for x
    x = 30,808,641,910.98/238,117.58
  6. Step 6: Final answer
    x = 129,384.16

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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.