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Finding the Fourth Proportional to 215,052.78, 296,775 and 118,261.74

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Solution

The fourth proportional to 215,052.78, 296,775 and 118,261.74 is: 163,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,052.78 : 296,775 = 118,261.74 : x
  2. Step 2: Convert to fraction form
    215,052.78/296,775 = 118,261.74/x
  3. Step 3: Cross multiply
    215,052.78x = 296,775 × 118,261.74
  4. Step 4: Simplify right side
    215,052.78x = 35,097,127,888.50
  5. Step 5: Solve for x
    x = 35,097,127,888.50/215,052.78
  6. Step 6: Final answer
    x = 163,202.39

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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.