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Finding the Fourth Proportional to 100,465.20, 150,643.05 and 30,335.40

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Solution

The fourth proportional to 100,465.20, 150,643.05 and 30,335.40 is: 45,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,465.20 : 150,643.05 = 30,335.40 : x
  2. Step 2: Convert to fraction form
    100,465.20/150,643.05 = 30,335.40/x
  3. Step 3: Cross multiply
    100,465.20x = 150,643.05 × 30,335.40
  4. Step 4: Simplify right side
    100,465.20x = 4,569,817,178.97
  5. Step 5: Solve for x
    x = 4,569,817,178.97/100,465.20
  6. Step 6: Final answer
    x = 45,486.57

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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.