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Finding the Fourth Proportional to 229,377, 316,541.34 and 128,775

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Solution

The fourth proportional to 229,377, 316,541.34 and 128,775 is: 177,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,377 : 316,541.34 = 128,775 : x
  2. Step 2: Convert to fraction form
    229,377/316,541.34 = 128,775/x
  3. Step 3: Cross multiply
    229,377x = 316,541.34 × 128,775
  4. Step 4: Simplify right side
    229,377x = 40,762,611,058.50
  5. Step 5: Solve for x
    x = 40,762,611,058.50/229,377
  6. Step 6: Final answer
    x = 177,710.11

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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.