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Finding the Fourth Proportional to 180,952.24, 249,713.10 and 100,378.90

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Solution

The fourth proportional to 180,952.24, 249,713.10 and 100,378.90 is: 138,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,952.24 : 249,713.10 = 100,378.90 : x
  2. Step 2: Convert to fraction form
    180,952.24/249,713.10 = 100,378.90/x
  3. Step 3: Cross multiply
    180,952.24x = 249,713.10 × 100,378.90
  4. Step 4: Simplify right side
    180,952.24x = 25,065,926,293.59
  5. Step 5: Solve for x
    x = 25,065,926,293.59/180,952.24
  6. Step 6: Final answer
    x = 138,522.33

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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.