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Finding the Fourth Proportional to 230,521, 318,124.61 and 128,545.47

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Solution

The fourth proportional to 230,521, 318,124.61 and 128,545.47 is: 177,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,521 : 318,124.61 = 128,545.47 : x
  2. Step 2: Convert to fraction form
    230,521/318,124.61 = 128,545.47/x
  3. Step 3: Cross multiply
    230,521x = 318,124.61 × 128,545.47
  4. Step 4: Simplify right side
    230,521x = 40,893,477,511.02
  5. Step 5: Solve for x
    x = 40,893,477,511.02/230,521
  6. Step 6: Final answer
    x = 177,395.89

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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.