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Finding the Fourth Proportional to 261,041.40, 391,464.90 and 103,237.20

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Solution

The fourth proportional to 261,041.40, 391,464.90 and 103,237.20 is: 154,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,041.40 : 391,464.90 = 103,237.20 : x
  2. Step 2: Convert to fraction form
    261,041.40/391,464.90 = 103,237.20/x
  3. Step 3: Cross multiply
    261,041.40x = 391,464.90 × 103,237.20
  4. Step 4: Simplify right side
    261,041.40x = 40,413,740,174.28
  5. Step 5: Solve for x
    x = 40,413,740,174.28/261,041.40
  6. Step 6: Final answer
    x = 154,817.36

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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.