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Finding the Fourth Proportional to 208,813, 288,162.14 and 113,319.72

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Solution

The fourth proportional to 208,813, 288,162.14 and 113,319.72 is: 156,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,813 : 288,162.14 = 113,319.72 : x
  2. Step 2: Convert to fraction form
    208,813/288,162.14 = 113,319.72/x
  3. Step 3: Cross multiply
    208,813x = 288,162.14 × 113,319.72
  4. Step 4: Simplify right side
    208,813x = 32,654,453,019.40
  5. Step 5: Solve for x
    x = 32,654,453,019.40/208,813
  6. Step 6: Final answer
    x = 156,381.32

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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.