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Finding the Fourth Proportional to 242,139.80, 363,080.10 and 101,739.80

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Solution

The fourth proportional to 242,139.80, 363,080.10 and 101,739.80 is: 152,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,139.80 : 363,080.10 = 101,739.80 : x
  2. Step 2: Convert to fraction form
    242,139.80/363,080.10 = 101,739.80/x
  3. Step 3: Cross multiply
    242,139.80x = 363,080.10 × 101,739.80
  4. Step 4: Simplify right side
    242,139.80x = 36,939,696,757.98
  5. Step 5: Solve for x
    x = 36,939,696,757.98/242,139.80
  6. Step 6: Final answer
    x = 152,555.25

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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.