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Finding the Fourth Proportional to 208,758.30, 288,085.17 and 113,262.93

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Solution

The fourth proportional to 208,758.30, 288,085.17 and 113,262.93 is: 156,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,758.30 : 288,085.17 = 113,262.93 : x
  2. Step 2: Convert to fraction form
    208,758.30/288,085.17 = 113,262.93/x
  3. Step 3: Cross multiply
    208,758.30x = 288,085.17 × 113,262.93
  4. Step 4: Simplify right side
    208,758.30x = 32,629,370,443.75
  5. Step 5: Solve for x
    x = 32,629,370,443.75/208,758.30
  6. Step 6: Final answer
    x = 156,302.15

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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.