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Finding the Fourth Proportional to 102,448, 141,367.86 and 57,121.68

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Solution

The fourth proportional to 102,448, 141,367.86 and 57,121.68 is: 78,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,448 : 141,367.86 = 57,121.68 : x
  2. Step 2: Convert to fraction form
    102,448/141,367.86 = 57,121.68/x
  3. Step 3: Cross multiply
    102,448x = 141,367.86 × 57,121.68
  4. Step 4: Simplify right side
    102,448x = 8,075,169,661.20
  5. Step 5: Solve for x
    x = 8,075,169,661.20/102,448
  6. Step 6: Final answer
    x = 78,822.13

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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.