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Finding the Fourth Proportional to 85,821.50, 128,741.16 and 23,492

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Solution

The fourth proportional to 85,821.50, 128,741.16 and 23,492 is: 35,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,821.50 : 128,741.16 = 23,492 : x
  2. Step 2: Convert to fraction form
    85,821.50/128,741.16 = 23,492/x
  3. Step 3: Cross multiply
    85,821.50x = 128,741.16 × 23,492
  4. Step 4: Simplify right side
    85,821.50x = 3,024,387,330.72
  5. Step 5: Solve for x
    x = 3,024,387,330.72/85,821.50
  6. Step 6: Final answer
    x = 35,240.44

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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.