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Finding the Fourth Proportional to 77,075.76, 115,452.36 and 67,727.28

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Solution

The fourth proportional to 77,075.76, 115,452.36 and 67,727.28 is: 101,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,075.76 : 115,452.36 = 67,727.28 : x
  2. Step 2: Convert to fraction form
    77,075.76/115,452.36 = 67,727.28/x
  3. Step 3: Cross multiply
    77,075.76x = 115,452.36 × 67,727.28
  4. Step 4: Simplify right side
    77,075.76x = 7,819,274,312.38
  5. Step 5: Solve for x
    x = 7,819,274,312.38/77,075.76
  6. Step 6: Final answer
    x = 101,449.20

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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.