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Finding the Fourth Proportional to 75,201.40, 112,802.10 and 65,578.60

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Solution

The fourth proportional to 75,201.40, 112,802.10 and 65,578.60 is: 98,367.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,201.40 : 112,802.10 = 65,578.60 : x
  2. Step 2: Convert to fraction form
    75,201.40/112,802.10 = 65,578.60/x
  3. Step 3: Cross multiply
    75,201.40x = 112,802.10 × 65,578.60
  4. Step 4: Simplify right side
    75,201.40x = 7,397,403,795.06
  5. Step 5: Solve for x
    x = 7,397,403,795.06/75,201.40
  6. Step 6: Final answer
    x = 98,367.90

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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.