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Finding the Fourth Proportional to 98,100.52, 135,448.16 and 76,614.48

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Solution

The fourth proportional to 98,100.52, 135,448.16 and 76,614.48 is: 105,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,100.52 : 135,448.16 = 76,614.48 : x
  2. Step 2: Convert to fraction form
    98,100.52/135,448.16 = 76,614.48/x
  3. Step 3: Cross multiply
    98,100.52x = 135,448.16 × 76,614.48
  4. Step 4: Simplify right side
    98,100.52x = 10,377,290,345.36
  5. Step 5: Solve for x
    x = 10,377,290,345.36/98,100.52
  6. Step 6: Final answer
    x = 105,782.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.