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Finding the Fourth Proportional to 77,842.86, 116,583.23 and 75,145.93

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Solution

The fourth proportional to 77,842.86, 116,583.23 and 75,145.93 is: 112,544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,842.86 : 116,583.23 = 75,145.93 : x
  2. Step 2: Convert to fraction form
    77,842.86/116,583.23 = 75,145.93/x
  3. Step 3: Cross multiply
    77,842.86x = 116,583.23 × 75,145.93
  4. Step 4: Simplify right side
    77,842.86x = 8,760,755,137.16
  5. Step 5: Solve for x
    x = 8,760,755,137.16/77,842.86
  6. Step 6: Final answer
    x = 112,544.11

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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.