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Finding the Fourth Proportional to 229,084.61, 316,122.35 and 138,386.88

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Solution

The fourth proportional to 229,084.61, 316,122.35 and 138,386.88 is: 190,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,084.61 : 316,122.35 = 138,386.88 : x
  2. Step 2: Convert to fraction form
    229,084.61/316,122.35 = 138,386.88/x
  3. Step 3: Cross multiply
    229,084.61x = 316,122.35 × 138,386.88
  4. Step 4: Simplify right side
    229,084.61x = 43,747,185,022.83
  5. Step 5: Solve for x
    x = 43,747,185,022.83/229,084.61
  6. Step 6: Final answer
    x = 190,965.19

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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.