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Finding the Fourth Proportional to 180,885.98, 249,623.32 and 100,320.95

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Solution

The fourth proportional to 180,885.98, 249,623.32 and 100,320.95 is: 138,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,885.98 : 249,623.32 = 100,320.95 : x
  2. Step 2: Convert to fraction form
    180,885.98/249,623.32 = 100,320.95/x
  3. Step 3: Cross multiply
    180,885.98x = 249,623.32 × 100,320.95
  4. Step 4: Simplify right side
    180,885.98x = 25,042,447,105.64
  5. Step 5: Solve for x
    x = 25,042,447,105.64/180,885.98
  6. Step 6: Final answer
    x = 138,443.28

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1.5x scale

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.