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Finding the Fourth Proportional to 56,471.70, 77,931.08 and 30,978.30

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Solution

The fourth proportional to 56,471.70, 77,931.08 and 30,978.30 is: 42,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,471.70 : 77,931.08 = 30,978.30 : x
  2. Step 2: Convert to fraction form
    56,471.70/77,931.08 = 30,978.30/x
  3. Step 3: Cross multiply
    56,471.70x = 77,931.08 × 30,978.30
  4. Step 4: Simplify right side
    56,471.70x = 2,414,172,220.67
  5. Step 5: Solve for x
    x = 2,414,172,220.67/56,471.70
  6. Step 6: Final answer
    x = 42,750.12

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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.