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Finding the Fourth Proportional to 77,851.87, 116,759.86 and 30,468.08

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Solution

The fourth proportional to 77,851.87, 116,759.86 and 30,468.08 is: 45,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,851.87 : 116,759.86 = 30,468.08 : x
  2. Step 2: Convert to fraction form
    77,851.87/116,759.86 = 30,468.08/x
  3. Step 3: Cross multiply
    77,851.87x = 116,759.86 × 30,468.08
  4. Step 4: Simplify right side
    77,851.87x = 3,557,448,971.00
  5. Step 5: Solve for x
    x = 3,557,448,971.00/77,851.87
  6. Step 6: Final answer
    x = 45,695.10

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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.