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Finding the Fourth Proportional to 77,740.79, 116,460.86 and 65,110.87

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Solution

The fourth proportional to 77,740.79, 116,460.86 and 65,110.87 is: 97,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,740.79 : 116,460.86 = 65,110.87 : x
  2. Step 2: Convert to fraction form
    77,740.79/116,460.86 = 65,110.87/x
  3. Step 3: Cross multiply
    77,740.79x = 116,460.86 × 65,110.87
  4. Step 4: Simplify right side
    77,740.79x = 7,582,867,333.24
  5. Step 5: Solve for x
    x = 7,582,867,333.24/77,740.79
  6. Step 6: Final answer
    x = 97,540.39

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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.