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Finding the Fourth Proportional to 77,763.49, 107,281.01 and 49,031.78

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Solution

The fourth proportional to 77,763.49, 107,281.01 and 49,031.78 is: 67,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,763.49 : 107,281.01 = 49,031.78 : x
  2. Step 2: Convert to fraction form
    77,763.49/107,281.01 = 49,031.78/x
  3. Step 3: Cross multiply
    77,763.49x = 107,281.01 × 49,031.78
  4. Step 4: Simplify right side
    77,763.49x = 5,260,178,794.32
  5. Step 5: Solve for x
    x = 5,260,178,794.32/77,763.49
  6. Step 6: Final answer
    x = 67,643.29

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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.