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Finding the Fourth Proportional to 229,897.74, 317,261.70 and 129,295.74

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Solution

The fourth proportional to 229,897.74, 317,261.70 and 129,295.74 is: 178,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,897.74 : 317,261.70 = 129,295.74 : x
  2. Step 2: Convert to fraction form
    229,897.74/317,261.70 = 129,295.74/x
  3. Step 3: Cross multiply
    229,897.74x = 317,261.70 × 129,295.74
  4. Step 4: Simplify right side
    229,897.74x = 41,020,586,275.16
  5. Step 5: Solve for x
    x = 41,020,586,275.16/229,897.74
  6. Step 6: Final answer
    x = 178,429.71

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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.