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Finding the Fourth Proportional to 257,572.08, 386,356.08 and 80,078.76

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Solution

The fourth proportional to 257,572.08, 386,356.08 and 80,078.76 is: 120,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,572.08 : 386,356.08 = 80,078.76 : x
  2. Step 2: Convert to fraction form
    257,572.08/386,356.08 = 80,078.76/x
  3. Step 3: Cross multiply
    257,572.08x = 386,356.08 × 80,078.76
  4. Step 4: Simplify right side
    257,572.08x = 30,938,915,804.86
  5. Step 5: Solve for x
    x = 30,938,915,804.86/257,572.08
  6. Step 6: Final answer
    x = 120,117.51

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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.