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Finding the Fourth Proportional to 212,574.32, 293,339.08 and 117,081

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Solution

The fourth proportional to 212,574.32, 293,339.08 and 117,081 is: 161,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,574.32 : 293,339.08 = 117,081 : x
  2. Step 2: Convert to fraction form
    212,574.32/293,339.08 = 117,081/x
  3. Step 3: Cross multiply
    212,574.32x = 293,339.08 × 117,081
  4. Step 4: Simplify right side
    212,574.32x = 34,344,432,532.78
  5. Step 5: Solve for x
    x = 34,344,432,532.78/212,574.32
  6. Step 6: Final answer
    x = 161,564.36

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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.