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Finding the Fourth Proportional to 103,448, 142,758.24 and 56,344

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Solution

The fourth proportional to 103,448, 142,758.24 and 56,344 is: 77,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,448 : 142,758.24 = 56,344 : x
  2. Step 2: Convert to fraction form
    103,448/142,758.24 = 56,344/x
  3. Step 3: Cross multiply
    103,448x = 142,758.24 × 56,344
  4. Step 4: Simplify right side
    103,448x = 8,043,570,274.56
  5. Step 5: Solve for x
    x = 8,043,570,274.56/103,448
  6. Step 6: Final answer
    x = 77,754.72

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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.