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Finding the Fourth Proportional to 208,718.76, 288,032.44 and 113,225.45

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Solution

The fourth proportional to 208,718.76, 288,032.44 and 113,225.45 is: 156,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,718.76 : 288,032.44 = 113,225.45 : x
  2. Step 2: Convert to fraction form
    208,718.76/288,032.44 = 113,225.45/x
  3. Step 3: Cross multiply
    208,718.76x = 288,032.44 × 113,225.45
  4. Step 4: Simplify right side
    208,718.76x = 32,612,602,706.54
  5. Step 5: Solve for x
    x = 32,612,602,706.54/208,718.76
  6. Step 6: Final answer
    x = 156,251.42

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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.