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Finding the Fourth Proportional to 55,854.50, 77,079.21 and 31,989.08

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Solution

The fourth proportional to 55,854.50, 77,079.21 and 31,989.08 is: 44,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854.50 : 77,079.21 = 31,989.08 : x
  2. Step 2: Convert to fraction form
    55,854.50/77,079.21 = 31,989.08/x
  3. Step 3: Cross multiply
    55,854.50x = 77,079.21 × 31,989.08
  4. Step 4: Simplify right side
    55,854.50x = 2,465,693,015.03
  5. Step 5: Solve for x
    x = 2,465,693,015.03/55,854.50
  6. Step 6: Final answer
    x = 44,144.93

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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.