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Finding the Fourth Proportional to 30,642.66, 45,977.85 and 15,642.03

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Solution

The fourth proportional to 30,642.66, 45,977.85 and 15,642.03 is: 23,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.66 : 45,977.85 = 15,642.03 : x
  2. Step 2: Convert to fraction form
    30,642.66/45,977.85 = 15,642.03/x
  3. Step 3: Cross multiply
    30,642.66x = 45,977.85 × 15,642.03
  4. Step 4: Simplify right side
    30,642.66x = 719,186,600.94
  5. Step 5: Solve for x
    x = 719,186,600.94/30,642.66
  6. Step 6: Final answer
    x = 23,470.11

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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.