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Finding the Fourth Proportional to 56,149.70, 77,483.26 and 30,651

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Solution

The fourth proportional to 56,149.70, 77,483.26 and 30,651 is: 42,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,149.70 : 77,483.26 = 30,651 : x
  2. Step 2: Convert to fraction form
    56,149.70/77,483.26 = 30,651/x
  3. Step 3: Cross multiply
    56,149.70x = 77,483.26 × 30,651
  4. Step 4: Simplify right side
    56,149.70x = 2,374,939,402.26
  5. Step 5: Solve for x
    x = 2,374,939,402.26/56,149.70
  6. Step 6: Final answer
    x = 42,296.56

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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.