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Finding the Fourth Proportional to 212,308.88, 292,989.14 and 115,513.88

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Solution

The fourth proportional to 212,308.88, 292,989.14 and 115,513.88 is: 159,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,308.88 : 292,989.14 = 115,513.88 : x
  2. Step 2: Convert to fraction form
    212,308.88/292,989.14 = 115,513.88/x
  3. Step 3: Cross multiply
    212,308.88x = 292,989.14 × 115,513.88
  4. Step 4: Simplify right side
    212,308.88x = 33,844,314,146.46
  5. Step 5: Solve for x
    x = 33,844,314,146.46/212,308.88
  6. Step 6: Final answer
    x = 159,410.73

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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.