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Finding the Fourth Proportional to 229,374.06, 316,459.80 and 138,695.64

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Solution

The fourth proportional to 229,374.06, 316,459.80 and 138,695.64 is: 191,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,374.06 : 316,459.80 = 138,695.64 : x
  2. Step 2: Convert to fraction form
    229,374.06/316,459.80 = 138,695.64/x
  3. Step 3: Cross multiply
    229,374.06x = 316,459.80 × 138,695.64
  4. Step 4: Simplify right side
    229,374.06x = 43,891,594,495.27
  5. Step 5: Solve for x
    x = 43,891,594,495.27/229,374.06
  6. Step 6: Final answer
    x = 191,353.78

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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.