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Finding the Fourth Proportional to 78,386.16, 117,431.04 and 60,769.68

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Solution

The fourth proportional to 78,386.16, 117,431.04 and 60,769.68 is: 91,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,386.16 : 117,431.04 = 60,769.68 : x
  2. Step 2: Convert to fraction form
    78,386.16/117,431.04 = 60,769.68/x
  3. Step 3: Cross multiply
    78,386.16x = 117,431.04 × 60,769.68
  4. Step 4: Simplify right side
    78,386.16x = 7,136,246,722.87
  5. Step 5: Solve for x
    x = 7,136,246,722.87/78,386.16
  6. Step 6: Final answer
    x = 91,039.63

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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.