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Finding the Fourth Proportional to 229,307.97, 316,474.14 and 138,664.56

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Solution

The fourth proportional to 229,307.97, 316,474.14 and 138,664.56 is: 191,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,307.97 : 316,474.14 = 138,664.56 : x
  2. Step 2: Convert to fraction form
    229,307.97/316,474.14 = 138,664.56/x
  3. Step 3: Cross multiply
    229,307.97x = 316,474.14 × 138,664.56
  4. Step 4: Simplify right side
    229,307.97x = 43,883,746,681.16
  5. Step 5: Solve for x
    x = 43,883,746,681.16/229,307.97
  6. Step 6: Final answer
    x = 191,374.71

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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.