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Finding the Fourth Proportional to 77,502.85, 106,955.10 and 74,821.03

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Solution

The fourth proportional to 77,502.85, 106,955.10 and 74,821.03 is: 103,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,502.85 : 106,955.10 = 74,821.03 : x
  2. Step 2: Convert to fraction form
    77,502.85/106,955.10 = 74,821.03/x
  3. Step 3: Cross multiply
    77,502.85x = 106,955.10 × 74,821.03
  4. Step 4: Simplify right side
    77,502.85x = 8,002,489,836.87
  5. Step 5: Solve for x
    x = 8,002,489,836.87/77,502.85
  6. Step 6: Final answer
    x = 103,254.14

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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.