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Finding the Fourth Proportional to 56,140.68, 77,473.98 and 30,990

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Solution

The fourth proportional to 56,140.68, 77,473.98 and 30,990 is: 42,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,140.68 : 77,473.98 = 30,990 : x
  2. Step 2: Convert to fraction form
    56,140.68/77,473.98 = 30,990/x
  3. Step 3: Cross multiply
    56,140.68x = 77,473.98 × 30,990
  4. Step 4: Simplify right side
    56,140.68x = 2,400,918,640.20
  5. Step 5: Solve for x
    x = 2,400,918,640.20/56,140.68
  6. Step 6: Final answer
    x = 42,766.11

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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.