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Finding the Fourth Proportional to 229,776, 317,090.88 and 129,174.72

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Solution

The fourth proportional to 229,776, 317,090.88 and 129,174.72 is: 178,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,776 : 317,090.88 = 129,174.72 : x
  2. Step 2: Convert to fraction form
    229,776/317,090.88 = 129,174.72/x
  3. Step 3: Cross multiply
    229,776x = 317,090.88 × 129,174.72
  4. Step 4: Simplify right side
    229,776x = 40,960,125,638.55
  5. Step 5: Solve for x
    x = 40,960,125,638.55/229,776
  6. Step 6: Final answer
    x = 178,261.11

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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.