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Finding the Fourth Proportional to 105,338.82, 145,492.26 and 71,288.26

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Solution

The fourth proportional to 105,338.82, 145,492.26 and 71,288.26 is: 98,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,338.82 : 145,492.26 = 71,288.26 : x
  2. Step 2: Convert to fraction form
    105,338.82/145,492.26 = 71,288.26/x
  3. Step 3: Cross multiply
    105,338.82x = 145,492.26 × 71,288.26
  4. Step 4: Simplify right side
    105,338.82x = 10,371,890,058.87
  5. Step 5: Solve for x
    x = 10,371,890,058.87/105,338.82
  6. Step 6: Final answer
    x = 98,462.18

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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.