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Finding the Fourth Proportional to 140,354.80, 210,642.77 and 65,436.38

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Solution

The fourth proportional to 140,354.80, 210,642.77 and 65,436.38 is: 98,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,354.80 : 210,642.77 = 65,436.38 : x
  2. Step 2: Convert to fraction form
    140,354.80/210,642.77 = 65,436.38/x
  3. Step 3: Cross multiply
    140,354.80x = 210,642.77 × 65,436.38
  4. Step 4: Simplify right side
    140,354.80x = 13,783,699,452.35
  5. Step 5: Solve for x
    x = 13,783,699,452.35/140,354.80
  6. Step 6: Final answer
    x = 98,206.12

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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.