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Finding the Fourth Proportional to 229,070, 316,116.78 and 128,468

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Solution

The fourth proportional to 229,070, 316,116.78 and 128,468 is: 177,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,070 : 316,116.78 = 128,468 : x
  2. Step 2: Convert to fraction form
    229,070/316,116.78 = 128,468/x
  3. Step 3: Cross multiply
    229,070x = 316,116.78 × 128,468
  4. Step 4: Simplify right side
    229,070x = 40,610,890,493.04
  5. Step 5: Solve for x
    x = 40,610,890,493.04/229,070
  6. Step 6: Final answer
    x = 177,285.94

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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.