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Finding the Fourth Proportional to 100,120.88, 150,048.47 and 83,513.45

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Solution

The fourth proportional to 100,120.88, 150,048.47 and 83,513.45 is: 125,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,120.88 : 150,048.47 = 83,513.45 : x
  2. Step 2: Convert to fraction form
    100,120.88/150,048.47 = 83,513.45/x
  3. Step 3: Cross multiply
    100,120.88x = 150,048.47 × 83,513.45
  4. Step 4: Simplify right side
    100,120.88x = 12,531,064,229.11
  5. Step 5: Solve for x
    x = 12,531,064,229.11/100,120.88
  6. Step 6: Final answer
    x = 125,159.36

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1.5x scale

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.