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Finding the Fourth Proportional to 229,505.50, 316,747.29 and 128,903.50

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Solution

The fourth proportional to 229,505.50, 316,747.29 and 128,903.50 is: 177,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,505.50 : 316,747.29 = 128,903.50 : x
  2. Step 2: Convert to fraction form
    229,505.50/316,747.29 = 128,903.50/x
  3. Step 3: Cross multiply
    229,505.50x = 316,747.29 × 128,903.50
  4. Step 4: Simplify right side
    229,505.50x = 40,829,834,296.52
  5. Step 5: Solve for x
    x = 40,829,834,296.52/229,505.50
  6. Step 6: Final answer
    x = 177,903.51

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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.