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Finding the Fourth Proportional to 229,002.96, 316,027.32 and 138,346.32

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Solution

The fourth proportional to 229,002.96, 316,027.32 and 138,346.32 is: 190,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,002.96 : 316,027.32 = 138,346.32 : x
  2. Step 2: Convert to fraction form
    229,002.96/316,027.32 = 138,346.32/x
  3. Step 3: Cross multiply
    229,002.96x = 316,027.32 × 138,346.32
  4. Step 4: Simplify right side
    229,002.96x = 43,721,216,741.46
  5. Step 5: Solve for x
    x = 43,721,216,741.46/229,002.96
  6. Step 6: Final answer
    x = 190,919.88

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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.