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Finding the Fourth Proportional to 77,568.78, 116,364.10 and 27,638.16

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Solution

The fourth proportional to 77,568.78, 116,364.10 and 27,638.16 is: 41,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,568.78 : 116,364.10 = 27,638.16 : x
  2. Step 2: Convert to fraction form
    77,568.78/116,364.10 = 27,638.16/x
  3. Step 3: Cross multiply
    77,568.78x = 116,364.10 × 27,638.16
  4. Step 4: Simplify right side
    77,568.78x = 3,216,089,614.06
  5. Step 5: Solve for x
    x = 3,216,089,614.06/77,568.78
  6. Step 6: Final answer
    x = 41,461.13

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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.