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Finding the Fourth Proportional to 238,850, 358,263.36 and 89,078.64

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Solution

The fourth proportional to 238,850, 358,263.36 and 89,078.64 is: 133,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,850 : 358,263.36 = 89,078.64 : x
  2. Step 2: Convert to fraction form
    238,850/358,263.36 = 89,078.64/x
  3. Step 3: Cross multiply
    238,850x = 358,263.36 × 89,078.64
  4. Step 4: Simplify right side
    238,850x = 31,913,612,870.63
  5. Step 5: Solve for x
    x = 31,913,612,870.63/238,850
  6. Step 6: Final answer
    x = 133,613.62

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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.