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Finding the Fourth Proportional to 98,292.36, 135,638.34 and 55,845

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Solution

The fourth proportional to 98,292.36, 135,638.34 and 55,845 is: 77,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,292.36 : 135,638.34 = 55,845 : x
  2. Step 2: Convert to fraction form
    98,292.36/135,638.34 = 55,845/x
  3. Step 3: Cross multiply
    98,292.36x = 135,638.34 × 55,845
  4. Step 4: Simplify right side
    98,292.36x = 7,574,723,097.30
  5. Step 5: Solve for x
    x = 7,574,723,097.30/98,292.36
  6. Step 6: Final answer
    x = 77,063.19

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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.