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Finding the Fourth Proportional to 180,550.78, 249,159.92 and 99,978.30

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Solution

The fourth proportional to 180,550.78, 249,159.92 and 99,978.30 is: 137,969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,550.78 : 249,159.92 = 99,978.30 : x
  2. Step 2: Convert to fraction form
    180,550.78/249,159.92 = 99,978.30/x
  3. Step 3: Cross multiply
    180,550.78x = 249,159.92 × 99,978.30
  4. Step 4: Simplify right side
    180,550.78x = 24,910,584,729.84
  5. Step 5: Solve for x
    x = 24,910,584,729.84/180,550.78
  6. Step 6: Final answer
    x = 137,969.97

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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.