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Finding the Fourth Proportional to 106,489.60, 147,002.88 and 68,782.24

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Solution

The fourth proportional to 106,489.60, 147,002.88 and 68,782.24 is: 94,950.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,489.60 : 147,002.88 = 68,782.24 : x
  2. Step 2: Convert to fraction form
    106,489.60/147,002.88 = 68,782.24/x
  3. Step 3: Cross multiply
    106,489.60x = 147,002.88 × 68,782.24
  4. Step 4: Simplify right side
    106,489.60x = 10,111,187,372.85
  5. Step 5: Solve for x
    x = 10,111,187,372.85/106,489.60
  6. Step 6: Final answer
    x = 94,950.00

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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.