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Finding the Fourth Proportional to 212,731.80, 319,097.70 and 118,253.40

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Solution

The fourth proportional to 212,731.80, 319,097.70 and 118,253.40 is: 177,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,731.80 : 319,097.70 = 118,253.40 : x
  2. Step 2: Convert to fraction form
    212,731.80/319,097.70 = 118,253.40/x
  3. Step 3: Cross multiply
    212,731.80x = 319,097.70 × 118,253.40
  4. Step 4: Simplify right side
    212,731.80x = 37,734,387,957.18
  5. Step 5: Solve for x
    x = 37,734,387,957.18/212,731.80
  6. Step 6: Final answer
    x = 177,380.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.