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Finding the Fourth Proportional to 78,074.96, 116,935.07 and 61,102.22

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Solution

The fourth proportional to 78,074.96, 116,935.07 and 61,102.22 is: 91,514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,074.96 : 116,935.07 = 61,102.22 : x
  2. Step 2: Convert to fraction form
    78,074.96/116,935.07 = 61,102.22/x
  3. Step 3: Cross multiply
    78,074.96x = 116,935.07 × 61,102.22
  4. Step 4: Simplify right side
    78,074.96x = 7,144,991,482.67
  5. Step 5: Solve for x
    x = 7,144,991,482.67/78,074.96
  6. Step 6: Final answer
    x = 91,514.51

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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.