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Finding the Fourth Proportional to 208,834.32, 288,330.12 and 123,978.64

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Solution

The fourth proportional to 208,834.32, 288,330.12 and 123,978.64 is: 171,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,834.32 : 288,330.12 = 123,978.64 : x
  2. Step 2: Convert to fraction form
    208,834.32/288,330.12 = 123,978.64/x
  3. Step 3: Cross multiply
    208,834.32x = 288,330.12 × 123,978.64
  4. Step 4: Simplify right side
    208,834.32x = 35,746,776,148.64
  5. Step 5: Solve for x
    x = 35,746,776,148.64/208,834.32
  6. Step 6: Final answer
    x = 171,172.90

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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.