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Finding the Fourth Proportional to 119,983.36, 179,741.04 and 78,304

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Solution

The fourth proportional to 119,983.36, 179,741.04 and 78,304 is: 117,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,983.36 : 179,741.04 = 78,304 : x
  2. Step 2: Convert to fraction form
    119,983.36/179,741.04 = 78,304/x
  3. Step 3: Cross multiply
    119,983.36x = 179,741.04 × 78,304
  4. Step 4: Simplify right side
    119,983.36x = 14,074,442,396.16
  5. Step 5: Solve for x
    x = 14,074,442,396.16/119,983.36
  6. Step 6: Final answer
    x = 117,303.29

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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.