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Finding the Fourth Proportional to 212,159.66, 292,782.40 and 116,667

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Solution

The fourth proportional to 212,159.66, 292,782.40 and 116,667 is: 161,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,159.66 : 292,782.40 = 116,667 : x
  2. Step 2: Convert to fraction form
    212,159.66/292,782.40 = 116,667/x
  3. Step 3: Cross multiply
    212,159.66x = 292,782.40 × 116,667
  4. Step 4: Simplify right side
    212,159.66x = 34,158,043,969.13
  5. Step 5: Solve for x
    x = 34,158,043,969.13/212,159.66
  6. Step 6: Final answer
    x = 161,001.60

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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.