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Finding the Fourth Proportional to 100,014.80, 149,849.40 and 64,936.40

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Solution

The fourth proportional to 100,014.80, 149,849.40 and 64,936.40 is: 97,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,014.80 : 149,849.40 = 64,936.40 : x
  2. Step 2: Convert to fraction form
    100,014.80/149,849.40 = 64,936.40/x
  3. Step 3: Cross multiply
    100,014.80x = 149,849.40 × 64,936.40
  4. Step 4: Simplify right side
    100,014.80x = 9,730,680,578.16
  5. Step 5: Solve for x
    x = 9,730,680,578.16/100,014.80
  6. Step 6: Final answer
    x = 97,292.41

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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.