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Finding the Fourth Proportional to 100,642.10, 150,963.03 and 25,762.11

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Solution

The fourth proportional to 100,642.10, 150,963.03 and 25,762.11 is: 38,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,642.10 : 150,963.03 = 25,762.11 : x
  2. Step 2: Convert to fraction form
    100,642.10/150,963.03 = 25,762.11/x
  3. Step 3: Cross multiply
    100,642.10x = 150,963.03 × 25,762.11
  4. Step 4: Simplify right side
    100,642.10x = 3,889,126,184.79
  5. Step 5: Solve for x
    x = 3,889,126,184.79/100,642.10
  6. Step 6: Final answer
    x = 38,643.14

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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.