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Finding the Fourth Proportional to 77,884.97, 116,830.08 and 21,726.45

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Solution

The fourth proportional to 77,884.97, 116,830.08 and 21,726.45 is: 32,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,884.97 : 116,830.08 = 21,726.45 : x
  2. Step 2: Convert to fraction form
    77,884.97/116,830.08 = 21,726.45/x
  3. Step 3: Cross multiply
    77,884.97x = 116,830.08 × 21,726.45
  4. Step 4: Simplify right side
    77,884.97x = 2,538,303,265.17
  5. Step 5: Solve for x
    x = 2,538,303,265.17/77,884.97
  6. Step 6: Final answer
    x = 32,590.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.