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Finding the Fourth Proportional to 77,264.80, 115,897.20 and 49,616.80

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Solution

The fourth proportional to 77,264.80, 115,897.20 and 49,616.80 is: 74,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,264.80 : 115,897.20 = 49,616.80 : x
  2. Step 2: Convert to fraction form
    77,264.80/115,897.20 = 49,616.80/x
  3. Step 3: Cross multiply
    77,264.80x = 115,897.20 × 49,616.80
  4. Step 4: Simplify right side
    77,264.80x = 5,750,448,192.96
  5. Step 5: Solve for x
    x = 5,750,448,192.96/77,264.80
  6. Step 6: Final answer
    x = 74,425.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.