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Finding the Fourth Proportional to 208,785.84, 288,124.12 and 113,292.56

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Solution

The fourth proportional to 208,785.84, 288,124.12 and 113,292.56 is: 156,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,785.84 : 288,124.12 = 113,292.56 : x
  2. Step 2: Convert to fraction form
    208,785.84/288,124.12 = 113,292.56/x
  3. Step 3: Cross multiply
    208,785.84x = 288,124.12 × 113,292.56
  4. Step 4: Simplify right side
    208,785.84x = 32,642,319,152.55
  5. Step 5: Solve for x
    x = 32,642,319,152.55/208,785.84
  6. Step 6: Final answer
    x = 156,343.55

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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.