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Finding the Fourth Proportional to 56,500.80, 77,971.14 and 31,350.30

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Solution

The fourth proportional to 56,500.80, 77,971.14 and 31,350.30 is: 43,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,500.80 : 77,971.14 = 31,350.30 : x
  2. Step 2: Convert to fraction form
    56,500.80/77,971.14 = 31,350.30/x
  3. Step 3: Cross multiply
    56,500.80x = 77,971.14 × 31,350.30
  4. Step 4: Simplify right side
    56,500.80x = 2,444,418,630.34
  5. Step 5: Solve for x
    x = 2,444,418,630.34/56,500.80
  6. Step 6: Final answer
    x = 43,263.43

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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.