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Finding the Fourth Proportional to 56,498, 77,690.76 and 49,033.04

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Solution

The fourth proportional to 56,498, 77,690.76 and 49,033.04 is: 67,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,498 : 77,690.76 = 49,033.04 : x
  2. Step 2: Convert to fraction form
    56,498/77,690.76 = 49,033.04/x
  3. Step 3: Cross multiply
    56,498x = 77,690.76 × 49,033.04
  4. Step 4: Simplify right side
    56,498x = 3,809,414,142.71
  5. Step 5: Solve for x
    x = 3,809,414,142.71/56,498
  6. Step 6: Final answer
    x = 67,425.65

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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.