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Finding the Fourth Proportional to 180,894.64, 249,625.92 and 100,315.84

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Solution

The fourth proportional to 180,894.64, 249,625.92 and 100,315.84 is: 138,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,894.64 : 249,625.92 = 100,315.84 : x
  2. Step 2: Convert to fraction form
    180,894.64/249,625.92 = 100,315.84/x
  3. Step 3: Cross multiply
    180,894.64x = 249,625.92 × 100,315.84
  4. Step 4: Simplify right side
    180,894.64x = 25,041,433,850.57
  5. Step 5: Solve for x
    x = 25,041,433,850.57/180,894.64
  6. Step 6: Final answer
    x = 138,431.04

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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.