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Finding the Fourth Proportional to 98,078.76, 135,424.71 and 75,381.48

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Solution

The fourth proportional to 98,078.76, 135,424.71 and 75,381.48 is: 104,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,078.76 : 135,424.71 = 75,381.48 : x
  2. Step 2: Convert to fraction form
    98,078.76/135,424.71 = 75,381.48/x
  3. Step 3: Cross multiply
    98,078.76x = 135,424.71 × 75,381.48
  4. Step 4: Simplify right side
    98,078.76x = 10,208,515,068.37
  5. Step 5: Solve for x
    x = 10,208,515,068.37/98,078.76
  6. Step 6: Final answer
    x = 104,084.87

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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.