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Finding the Fourth Proportional to 229,513.02, 316,635.48 and 138,711.34

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Solution

The fourth proportional to 229,513.02, 316,635.48 and 138,711.34 is: 191,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,513.02 : 316,635.48 = 138,711.34 : x
  2. Step 2: Convert to fraction form
    229,513.02/316,635.48 = 138,711.34/x
  3. Step 3: Cross multiply
    229,513.02x = 316,635.48 × 138,711.34
  4. Step 4: Simplify right side
    229,513.02x = 43,920,931,944.75
  5. Step 5: Solve for x
    x = 43,920,931,944.75/229,513.02
  6. Step 6: Final answer
    x = 191,365.75

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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.