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Finding the Fourth Proportional to 287,843.10, 431,760.60 and 130,071.30

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Solution

The fourth proportional to 287,843.10, 431,760.60 and 130,071.30 is: 195,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,843.10 : 431,760.60 = 130,071.30 : x
  2. Step 2: Convert to fraction form
    287,843.10/431,760.60 = 130,071.30/x
  3. Step 3: Cross multiply
    287,843.10x = 431,760.60 × 130,071.30
  4. Step 4: Simplify right side
    287,843.10x = 56,159,662,530.78
  5. Step 5: Solve for x
    x = 56,159,662,530.78/287,843.10
  6. Step 6: Final answer
    x = 195,105.12

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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.