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Finding the Fourth Proportional to 73,855, 101,920.26 and 40,321

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Solution

The fourth proportional to 73,855, 101,920.26 and 40,321 is: 55,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,855 : 101,920.26 = 40,321 : x
  2. Step 2: Convert to fraction form
    73,855/101,920.26 = 40,321/x
  3. Step 3: Cross multiply
    73,855x = 101,920.26 × 40,321
  4. Step 4: Simplify right side
    73,855x = 4,109,526,803.46
  5. Step 5: Solve for x
    x = 4,109,526,803.46/73,855
  6. Step 6: Final answer
    x = 55,643.18

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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.