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Finding the Fourth Proportional to 212,097.57, 292,696.32 and 115,301.40

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Solution

The fourth proportional to 212,097.57, 292,696.32 and 115,301.40 is: 159,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,097.57 : 292,696.32 = 115,301.40 : x
  2. Step 2: Convert to fraction form
    212,097.57/292,696.32 = 115,301.40/x
  3. Step 3: Cross multiply
    212,097.57x = 292,696.32 × 115,301.40
  4. Step 4: Simplify right side
    212,097.57x = 33,748,297,000.84
  5. Step 5: Solve for x
    x = 33,748,297,000.84/212,097.57
  6. Step 6: Final answer
    x = 159,116.85

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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.