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Finding the Fourth Proportional to 138,297.12, 190,834.24 and 77,866.20

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Solution

The fourth proportional to 138,297.12, 190,834.24 and 77,866.20 is: 107,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,297.12 : 190,834.24 = 77,866.20 : x
  2. Step 2: Convert to fraction form
    138,297.12/190,834.24 = 77,866.20/x
  3. Step 3: Cross multiply
    138,297.12x = 190,834.24 × 77,866.20
  4. Step 4: Simplify right side
    138,297.12x = 14,859,537,098.69
  5. Step 5: Solve for x
    x = 14,859,537,098.69/138,297.12
  6. Step 6: Final answer
    x = 107,446.47

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1.5x scale

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.