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Finding the Fourth Proportional to 85,304, 128,002.08 and 41,528

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Solution

The fourth proportional to 85,304, 128,002.08 and 41,528 is: 62,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,304 : 128,002.08 = 41,528 : x
  2. Step 2: Convert to fraction form
    85,304/128,002.08 = 41,528/x
  3. Step 3: Cross multiply
    85,304x = 128,002.08 × 41,528
  4. Step 4: Simplify right side
    85,304x = 5,315,670,378.24
  5. Step 5: Solve for x
    x = 5,315,670,378.24/85,304
  6. Step 6: Final answer
    x = 62,314.43

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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.