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Finding the Fourth Proportional to 208,937.76, 288,339.12 and 113,448.48

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Solution

The fourth proportional to 208,937.76, 288,339.12 and 113,448.48 is: 156,561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,937.76 : 288,339.12 = 113,448.48 : x
  2. Step 2: Convert to fraction form
    208,937.76/288,339.12 = 113,448.48/x
  3. Step 3: Cross multiply
    208,937.76x = 288,339.12 × 113,448.48
  4. Step 4: Simplify right side
    208,937.76x = 32,711,634,888.54
  5. Step 5: Solve for x
    x = 32,711,634,888.54/208,937.76
  6. Step 6: Final answer
    x = 156,561.62

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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.