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Finding the Fourth Proportional to 229,262.50, 316,411.42 and 128,660.50

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Solution

The fourth proportional to 229,262.50, 316,411.42 and 128,660.50 is: 177,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,262.50 : 316,411.42 = 128,660.50 : x
  2. Step 2: Convert to fraction form
    229,262.50/316,411.42 = 128,660.50/x
  3. Step 3: Cross multiply
    229,262.50x = 316,411.42 × 128,660.50
  4. Step 4: Simplify right side
    229,262.50x = 40,709,651,502.91
  5. Step 5: Solve for x
    x = 40,709,651,502.91/229,262.50
  6. Step 6: Final answer
    x = 177,567.86

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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.