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Finding the Fourth Proportional to 212,382, 293,083.65 and 116,886.78

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Solution

The fourth proportional to 212,382, 293,083.65 and 116,886.78 is: 161,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,382 : 293,083.65 = 116,886.78 : x
  2. Step 2: Convert to fraction form
    212,382/293,083.65 = 116,886.78/x
  3. Step 3: Cross multiply
    212,382x = 293,083.65 × 116,886.78
  4. Step 4: Simplify right side
    212,382x = 34,257,604,119.15
  5. Step 5: Solve for x
    x = 34,257,604,119.15/212,382
  6. Step 6: Final answer
    x = 161,301.82

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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.