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Finding the Fourth Proportional to 229,502.50, 316,743.15 and 128,900.50

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Solution

The fourth proportional to 229,502.50, 316,743.15 and 128,900.50 is: 177,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,502.50 : 316,743.15 = 128,900.50 : x
  2. Step 2: Convert to fraction form
    229,502.50/316,743.15 = 128,900.50/x
  3. Step 3: Cross multiply
    229,502.50x = 316,743.15 × 128,900.50
  4. Step 4: Simplify right side
    229,502.50x = 40,828,350,406.58
  5. Step 5: Solve for x
    x = 40,828,350,406.58/229,502.50
  6. Step 6: Final answer
    x = 177,899.37

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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.