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Finding the Fourth Proportional to 164,079.12, 226,437.48 and 100,398

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Solution

The fourth proportional to 164,079.12, 226,437.48 and 100,398 is: 138,554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,079.12 : 226,437.48 = 100,398 : x
  2. Step 2: Convert to fraction form
    164,079.12/226,437.48 = 100,398/x
  3. Step 3: Cross multiply
    164,079.12x = 226,437.48 × 100,398
  4. Step 4: Simplify right side
    164,079.12x = 22,733,870,117.04
  5. Step 5: Solve for x
    x = 22,733,870,117.04/164,079.12
  6. Step 6: Final answer
    x = 138,554.32

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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.