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Finding the Fourth Proportional to 175,488, 242,216.64 and 100,080

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Solution

The fourth proportional to 175,488, 242,216.64 and 100,080 is: 138,135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,488 : 242,216.64 = 100,080 : x
  2. Step 2: Convert to fraction form
    175,488/242,216.64 = 100,080/x
  3. Step 3: Cross multiply
    175,488x = 242,216.64 × 100,080
  4. Step 4: Simplify right side
    175,488x = 24,241,041,331.20
  5. Step 5: Solve for x
    x = 24,241,041,331.20/175,488
  6. Step 6: Final answer
    x = 138,135.04

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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.