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Finding the Fourth Proportional to 153,358.92, 211,633.56 and 85,374

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Solution

The fourth proportional to 153,358.92, 211,633.56 and 85,374 is: 117,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,358.92 : 211,633.56 = 85,374 : x
  2. Step 2: Convert to fraction form
    153,358.92/211,633.56 = 85,374/x
  3. Step 3: Cross multiply
    153,358.92x = 211,633.56 × 85,374
  4. Step 4: Simplify right side
    153,358.92x = 18,068,003,551.44
  5. Step 5: Solve for x
    x = 18,068,003,551.44/153,358.92
  6. Step 6: Final answer
    x = 117,815.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.