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Finding the Fourth Proportional to 100,319.84, 150,480 and 25,440

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Solution

The fourth proportional to 100,319.84, 150,480 and 25,440 is: 38,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,319.84 : 150,480 = 25,440 : x
  2. Step 2: Convert to fraction form
    100,319.84/150,480 = 25,440/x
  3. Step 3: Cross multiply
    100,319.84x = 150,480 × 25,440
  4. Step 4: Simplify right side
    100,319.84x = 3,828,211,200
  5. Step 5: Solve for x
    x = 3,828,211,200/100,319.84
  6. Step 6: Final answer
    x = 38,160.06

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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.