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Finding the Fourth Proportional to 208,752.30, 288,078.20 and 113,259.02

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Solution

The fourth proportional to 208,752.30, 288,078.20 and 113,259.02 is: 156,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,752.30 : 288,078.20 = 113,259.02 : x
  2. Step 2: Convert to fraction form
    208,752.30/288,078.20 = 113,259.02/x
  3. Step 3: Cross multiply
    208,752.30x = 288,078.20 × 113,259.02
  4. Step 4: Simplify right side
    208,752.30x = 32,627,452,608.68
  5. Step 5: Solve for x
    x = 32,627,452,608.68/208,752.30
  6. Step 6: Final answer
    x = 156,297.45

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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.