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Finding the Fourth Proportional to 96,634.64, 144,977.88 and 76,987.28

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Solution

The fourth proportional to 96,634.64, 144,977.88 and 76,987.28 is: 115,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,634.64 : 144,977.88 = 76,987.28 : x
  2. Step 2: Convert to fraction form
    96,634.64/144,977.88 = 76,987.28/x
  3. Step 3: Cross multiply
    96,634.64x = 144,977.88 × 76,987.28
  4. Step 4: Simplify right side
    96,634.64x = 11,161,452,641.37
  5. Step 5: Solve for x
    x = 11,161,452,641.37/96,634.64
  6. Step 6: Final answer
    x = 115,501.57

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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.