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Finding the Fourth Proportional to 116,642.64, 160,883.92 and 77,860.90

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Solution

The fourth proportional to 116,642.64, 160,883.92 and 77,860.90 is: 107,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,642.64 : 160,883.92 = 77,860.90 : x
  2. Step 2: Convert to fraction form
    116,642.64/160,883.92 = 77,860.90/x
  3. Step 3: Cross multiply
    116,642.64x = 160,883.92 × 77,860.90
  4. Step 4: Simplify right side
    116,642.64x = 12,526,566,806.73
  5. Step 5: Solve for x
    x = 12,526,566,806.73/116,642.64
  6. Step 6: Final answer
    x = 107,392.69

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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.