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Finding the Fourth Proportional to 77,512.86, 106,935.12 and 48,781.62

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Solution

The fourth proportional to 77,512.86, 106,935.12 and 48,781.62 is: 67,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,512.86 : 106,935.12 = 48,781.62 : x
  2. Step 2: Convert to fraction form
    77,512.86/106,935.12 = 48,781.62/x
  3. Step 3: Cross multiply
    77,512.86x = 106,935.12 × 48,781.62
  4. Step 4: Simplify right side
    77,512.86x = 5,216,468,388.49
  5. Step 5: Solve for x
    x = 5,216,468,388.49/77,512.86
  6. Step 6: Final answer
    x = 67,298.10

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1.5x scale

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.