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Finding the Fourth Proportional to 71,053.36, 98,054.32 and 39,221.57

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Solution

The fourth proportional to 71,053.36, 98,054.32 and 39,221.57 is: 54,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,053.36 : 98,054.32 = 39,221.57 : x
  2. Step 2: Convert to fraction form
    71,053.36/98,054.32 = 39,221.57/x
  3. Step 3: Cross multiply
    71,053.36x = 98,054.32 × 39,221.57
  4. Step 4: Simplify right side
    71,053.36x = 3,845,844,522.76
  5. Step 5: Solve for x
    x = 3,845,844,522.76/71,053.36
  6. Step 6: Final answer
    x = 54,126.15

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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.