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Finding the Fourth Proportional to 100,428.76, 150,487.54 and 63,415

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Solution

The fourth proportional to 100,428.76, 150,487.54 and 63,415 is: 95,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,428.76 : 150,487.54 = 63,415 : x
  2. Step 2: Convert to fraction form
    100,428.76/150,487.54 = 63,415/x
  3. Step 3: Cross multiply
    100,428.76x = 150,487.54 × 63,415
  4. Step 4: Simplify right side
    100,428.76x = 9,543,167,349.10
  5. Step 5: Solve for x
    x = 9,543,167,349.10/100,428.76
  6. Step 6: Final answer
    x = 95,024.25

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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.