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Finding the Fourth Proportional to 242,643.60, 363,868.20 and 84,790.80

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Solution

The fourth proportional to 242,643.60, 363,868.20 and 84,790.80 is: 127,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,643.60 : 363,868.20 = 84,790.80 : x
  2. Step 2: Convert to fraction form
    242,643.60/363,868.20 = 84,790.80/x
  3. Step 3: Cross multiply
    242,643.60x = 363,868.20 × 84,790.80
  4. Step 4: Simplify right side
    242,643.60x = 30,852,675,772.56
  5. Step 5: Solve for x
    x = 30,852,675,772.56/242,643.60
  6. Step 6: Final answer
    x = 127,152.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.