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Finding the Fourth Proportional to 77,525.02, 106,978.08 and 43,528.78

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Solution

The fourth proportional to 77,525.02, 106,978.08 and 43,528.78 is: 60,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,525.02 : 106,978.08 = 43,528.78 : x
  2. Step 2: Convert to fraction form
    77,525.02/106,978.08 = 43,528.78/x
  3. Step 3: Cross multiply
    77,525.02x = 106,978.08 × 43,528.78
  4. Step 4: Simplify right side
    77,525.02x = 4,656,625,309.14
  5. Step 5: Solve for x
    x = 4,656,625,309.14/77,525.02
  6. Step 6: Final answer
    x = 60,066.10

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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.