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Finding the Fourth Proportional to 55,881.50, 77,115.44 and 31,684.77

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Solution

The fourth proportional to 55,881.50, 77,115.44 and 31,684.77 is: 43,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,881.50 : 77,115.44 = 31,684.77 : x
  2. Step 2: Convert to fraction form
    55,881.50/77,115.44 = 31,684.77/x
  3. Step 3: Cross multiply
    55,881.50x = 77,115.44 × 31,684.77
  4. Step 4: Simplify right side
    55,881.50x = 2,443,385,059.06
  5. Step 5: Solve for x
    x = 2,443,385,059.06/55,881.50
  6. Step 6: Final answer
    x = 43,724.40

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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.