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Finding the Fourth Proportional to 153,678.52, 211,957.10 and 136,469

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Solution

The fourth proportional to 153,678.52, 211,957.10 and 136,469 is: 188,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,678.52 : 211,957.10 = 136,469 : x
  2. Step 2: Convert to fraction form
    153,678.52/211,957.10 = 136,469/x
  3. Step 3: Cross multiply
    153,678.52x = 211,957.10 × 136,469
  4. Step 4: Simplify right side
    153,678.52x = 28,925,573,479.90
  5. Step 5: Solve for x
    x = 28,925,573,479.90/153,678.52
  6. Step 6: Final answer
    x = 188,221.32

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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.