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Finding the Fourth Proportional to 75,284.73, 103,632.13 and 65,071.06

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Solution

The fourth proportional to 75,284.73, 103,632.13 and 65,071.06 is: 89,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,284.73 : 103,632.13 = 65,071.06 : x
  2. Step 2: Convert to fraction form
    75,284.73/103,632.13 = 65,071.06/x
  3. Step 3: Cross multiply
    75,284.73x = 103,632.13 × 65,071.06
  4. Step 4: Simplify right side
    75,284.73x = 6,743,452,549.16
  5. Step 5: Solve for x
    x = 6,743,452,549.16/75,284.73
  6. Step 6: Final answer
    x = 89,572.65

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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.