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Finding the Fourth Proportional to 229,068, 316,114.02 and 128,466

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Solution

The fourth proportional to 229,068, 316,114.02 and 128,466 is: 177,283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,068 : 316,114.02 = 128,466 : x
  2. Step 2: Convert to fraction form
    229,068/316,114.02 = 128,466/x
  3. Step 3: Cross multiply
    229,068x = 316,114.02 × 128,466
  4. Step 4: Simplify right side
    229,068x = 40,609,903,693.32
  5. Step 5: Solve for x
    x = 40,609,903,693.32/229,068
  6. Step 6: Final answer
    x = 177,283.18

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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.