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Finding the Fourth Proportional to 257,907.69, 386,873.84 and 108,152.87

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Solution

The fourth proportional to 257,907.69, 386,873.84 and 108,152.87 is: 162,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,907.69 : 386,873.84 = 108,152.87 : x
  2. Step 2: Convert to fraction form
    257,907.69/386,873.84 = 108,152.87/x
  3. Step 3: Cross multiply
    257,907.69x = 386,873.84 × 108,152.87
  4. Step 4: Simplify right side
    257,907.69x = 41,841,513,648.79
  5. Step 5: Solve for x
    x = 41,841,513,648.79/257,907.69
  6. Step 6: Final answer
    x = 162,234.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.