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Finding the Fourth Proportional to 229,083.52, 316,151.04 and 128,488

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Solution

The fourth proportional to 229,083.52, 316,151.04 and 128,488 is: 177,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,083.52 : 316,151.04 = 128,488 : x
  2. Step 2: Convert to fraction form
    229,083.52/316,151.04 = 128,488/x
  3. Step 3: Cross multiply
    229,083.52x = 316,151.04 × 128,488
  4. Step 4: Simplify right side
    229,083.52x = 40,621,614,827.52
  5. Step 5: Solve for x
    x = 40,621,614,827.52/229,083.52
  6. Step 6: Final answer
    x = 177,322.29

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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.