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Finding the Fourth Proportional to 180,902.78, 249,661.16 and 100,356.24

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Solution

The fourth proportional to 180,902.78, 249,661.16 and 100,356.24 is: 138,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,902.78 : 249,661.16 = 100,356.24 : x
  2. Step 2: Convert to fraction form
    180,902.78/249,661.16 = 100,356.24/x
  3. Step 3: Cross multiply
    180,902.78x = 249,661.16 × 100,356.24
  4. Step 4: Simplify right side
    180,902.78x = 25,055,054,789.86
  5. Step 5: Solve for x
    x = 25,055,054,789.86/180,902.78
  6. Step 6: Final answer
    x = 138,500.11

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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.