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Finding the Fourth Proportional to 56,472.20, 77,931.77 and 30,978.80

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Solution

The fourth proportional to 56,472.20, 77,931.77 and 30,978.80 is: 42,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,472.20 : 77,931.77 = 30,978.80 : x
  2. Step 2: Convert to fraction form
    56,472.20/77,931.77 = 30,978.80/x
  3. Step 3: Cross multiply
    56,472.20x = 77,931.77 × 30,978.80
  4. Step 4: Simplify right side
    56,472.20x = 2,414,232,716.48
  5. Step 5: Solve for x
    x = 2,414,232,716.48/56,472.20
  6. Step 6: Final answer
    x = 42,750.82

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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.