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Finding the Fourth Proportional to 230,964, 318,731.28 and 124,980

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Solution

The fourth proportional to 230,964, 318,731.28 and 124,980 is: 172,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,964 : 318,731.28 = 124,980 : x
  2. Step 2: Convert to fraction form
    230,964/318,731.28 = 124,980/x
  3. Step 3: Cross multiply
    230,964x = 318,731.28 × 124,980
  4. Step 4: Simplify right side
    230,964x = 39,835,035,374.40
  5. Step 5: Solve for x
    x = 39,835,035,374.40/230,964
  6. Step 6: Final answer
    x = 172,472.92

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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.