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Finding the Fourth Proportional to 261,025, 391,537.50 and 113,281

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Solution

The fourth proportional to 261,025, 391,537.50 and 113,281 is: 169,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,025 : 391,537.50 = 113,281 : x
  2. Step 2: Convert to fraction form
    261,025/391,537.50 = 113,281/x
  3. Step 3: Cross multiply
    261,025x = 391,537.50 × 113,281
  4. Step 4: Simplify right side
    261,025x = 44,353,759,537.50
  5. Step 5: Solve for x
    x = 44,353,759,537.50/261,025
  6. Step 6: Final answer
    x = 169,921.50

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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.