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Finding the Fourth Proportional to 281,987.38, 423,000.42 and 113,509

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Solution

The fourth proportional to 281,987.38, 423,000.42 and 113,509 is: 170,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,987.38 : 423,000.42 = 113,509 : x
  2. Step 2: Convert to fraction form
    281,987.38/423,000.42 = 113,509/x
  3. Step 3: Cross multiply
    281,987.38x = 423,000.42 × 113,509
  4. Step 4: Simplify right side
    281,987.38x = 48,014,354,673.78
  5. Step 5: Solve for x
    x = 48,014,354,673.78/281,987.38
  6. Step 6: Final answer
    x = 170,271.29

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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.