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Finding the Fourth Proportional to 243,141.40, 364,517.70 and 102,784.60

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Solution

The fourth proportional to 243,141.40, 364,517.70 and 102,784.60 is: 154,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,141.40 : 364,517.70 = 102,784.60 : x
  2. Step 2: Convert to fraction form
    243,141.40/364,517.70 = 102,784.60/x
  3. Step 3: Cross multiply
    243,141.40x = 364,517.70 × 102,784.60
  4. Step 4: Simplify right side
    243,141.40x = 37,466,805,987.42
  5. Step 5: Solve for x
    x = 37,466,805,987.42/243,141.40
  6. Step 6: Final answer
    x = 154,094.72

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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.