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Finding the Fourth Proportional to 230,730, 318,407.40 and 124,746

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Solution

The fourth proportional to 230,730, 318,407.40 and 124,746 is: 172,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,730 : 318,407.40 = 124,746 : x
  2. Step 2: Convert to fraction form
    230,730/318,407.40 = 124,746/x
  3. Step 3: Cross multiply
    230,730x = 318,407.40 × 124,746
  4. Step 4: Simplify right side
    230,730x = 39,720,049,520.40
  5. Step 5: Solve for x
    x = 39,720,049,520.40/230,730
  6. Step 6: Final answer
    x = 172,149.48

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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.