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Finding the Fourth Proportional to 100,646.88, 150,970.32 and 45,178.08

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Solution

The fourth proportional to 100,646.88, 150,970.32 and 45,178.08 is: 67,767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,646.88 : 150,970.32 = 45,178.08 : x
  2. Step 2: Convert to fraction form
    100,646.88/150,970.32 = 45,178.08/x
  3. Step 3: Cross multiply
    100,646.88x = 150,970.32 × 45,178.08
  4. Step 4: Simplify right side
    100,646.88x = 6,820,549,194.59
  5. Step 5: Solve for x
    x = 6,820,549,194.59/100,646.88
  6. Step 6: Final answer
    x = 67,767.12

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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.