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Finding the Fourth Proportional to 229,665.84, 316,929 and 127,691.16

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Solution

The fourth proportional to 229,665.84, 316,929 and 127,691.16 is: 176,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,665.84 : 316,929 = 127,691.16 : x
  2. Step 2: Convert to fraction form
    229,665.84/316,929 = 127,691.16/x
  3. Step 3: Cross multiply
    229,665.84x = 316,929 × 127,691.16
  4. Step 4: Simplify right side
    229,665.84x = 40,469,031,647.64
  5. Step 5: Solve for x
    x = 40,469,031,647.64/229,665.84
  6. Step 6: Final answer
    x = 176,208.32

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1.5x scale

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.