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Finding the Fourth Proportional to 242,029.20, 363,130.20 and 101,830.80

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Solution

The fourth proportional to 242,029.20, 363,130.20 and 101,830.80 is: 152,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,029.20 : 363,130.20 = 101,830.80 : x
  2. Step 2: Convert to fraction form
    242,029.20/363,130.20 = 101,830.80/x
  3. Step 3: Cross multiply
    242,029.20x = 363,130.20 × 101,830.80
  4. Step 4: Simplify right side
    242,029.20x = 36,977,838,770.16
  5. Step 5: Solve for x
    x = 36,977,838,770.16/242,029.20
  6. Step 6: Final answer
    x = 152,782.55

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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.