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Finding the Fourth Proportional to 208,854.32, 288,211.24 and 113,358.96

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Solution

The fourth proportional to 208,854.32, 288,211.24 and 113,358.96 is: 156,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,854.32 : 288,211.24 = 113,358.96 : x
  2. Step 2: Convert to fraction form
    208,854.32/288,211.24 = 113,358.96/x
  3. Step 3: Cross multiply
    208,854.32x = 288,211.24 × 113,358.96
  4. Step 4: Simplify right side
    208,854.32x = 32,671,326,426.71
  5. Step 5: Solve for x
    x = 32,671,326,426.71/208,854.32
  6. Step 6: Final answer
    x = 156,431.17

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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.