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Finding the Fourth Proportional to 75,070.93, 112,735.14 and 66,656.41

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Solution

The fourth proportional to 75,070.93, 112,735.14 and 66,656.41 is: 100,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,070.93 : 112,735.14 = 66,656.41 : x
  2. Step 2: Convert to fraction form
    75,070.93/112,735.14 = 66,656.41/x
  3. Step 3: Cross multiply
    75,070.93x = 112,735.14 × 66,656.41
  4. Step 4: Simplify right side
    75,070.93x = 7,514,519,713.25
  5. Step 5: Solve for x
    x = 7,514,519,713.25/75,070.93
  6. Step 6: Final answer
    x = 100,098.93

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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.