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Finding the Fourth Proportional to 180,542.73, 249,151.59 and 99,970.10

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Solution

The fourth proportional to 180,542.73, 249,151.59 and 99,970.10 is: 137,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,542.73 : 249,151.59 = 99,970.10 : x
  2. Step 2: Convert to fraction form
    180,542.73/249,151.59 = 99,970.10/x
  3. Step 3: Cross multiply
    180,542.73x = 249,151.59 × 99,970.10
  4. Step 4: Simplify right side
    180,542.73x = 24,907,708,121.70
  5. Step 5: Solve for x
    x = 24,907,708,121.70/180,542.73
  6. Step 6: Final answer
    x = 137,960.18

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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.