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Finding the Fourth Proportional to 55,702.68, 76,868.62 and 31,503.21

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Solution

The fourth proportional to 55,702.68, 76,868.62 and 31,503.21 is: 43,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,702.68 : 76,868.62 = 31,503.21 : x
  2. Step 2: Convert to fraction form
    55,702.68/76,868.62 = 31,503.21/x
  3. Step 3: Cross multiply
    55,702.68x = 76,868.62 × 31,503.21
  4. Step 4: Simplify right side
    55,702.68x = 2,421,608,278.27
  5. Step 5: Solve for x
    x = 2,421,608,278.27/55,702.68
  6. Step 6: Final answer
    x = 43,473.82

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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.