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Finding the Fourth Proportional to 140,462.90, 210,578.92 and 65,546

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Solution

The fourth proportional to 140,462.90, 210,578.92 and 65,546 is: 98,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,462.90 : 210,578.92 = 65,546 : x
  2. Step 2: Convert to fraction form
    140,462.90/210,578.92 = 65,546/x
  3. Step 3: Cross multiply
    140,462.90x = 210,578.92 × 65,546
  4. Step 4: Simplify right side
    140,462.90x = 13,802,605,890.32
  5. Step 5: Solve for x
    x = 13,802,605,890.32/140,462.90
  6. Step 6: Final answer
    x = 98,265.14

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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.