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Finding the Fourth Proportional to 209,149.05, 288,624.31 and 113,655.74

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Solution

The fourth proportional to 209,149.05, 288,624.31 and 113,655.74 is: 156,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,149.05 : 288,624.31 = 113,655.74 : x
  2. Step 2: Convert to fraction form
    209,149.05/288,624.31 = 113,655.74/x
  3. Step 3: Cross multiply
    209,149.05x = 288,624.31 × 113,655.74
  4. Step 4: Simplify right side
    209,149.05x = 32,803,807,807.78
  5. Step 5: Solve for x
    x = 32,803,807,807.78/209,149.05
  6. Step 6: Final answer
    x = 156,844.16

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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.