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Finding the Fourth Proportional to 208,780.80, 288,116.64 and 123,967.68

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Solution

The fourth proportional to 208,780.80, 288,116.64 and 123,967.68 is: 171,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,780.80 : 288,116.64 = 123,967.68 : x
  2. Step 2: Convert to fraction form
    208,780.80/288,116.64 = 123,967.68/x
  3. Step 3: Cross multiply
    208,780.80x = 288,116.64 × 123,967.68
  4. Step 4: Simplify right side
    208,780.80x = 35,717,151,430.20
  5. Step 5: Solve for x
    x = 35,717,151,430.20/208,780.80
  6. Step 6: Final answer
    x = 171,074.89

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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.