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Finding the Fourth Proportional to 76,566.40, 114,590.40 and 67,235.20

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Solution

The fourth proportional to 76,566.40, 114,590.40 and 67,235.20 is: 100,625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566.40 : 114,590.40 = 67,235.20 : x
  2. Step 2: Convert to fraction form
    76,566.40/114,590.40 = 67,235.20/x
  3. Step 3: Cross multiply
    76,566.40x = 114,590.40 × 67,235.20
  4. Step 4: Simplify right side
    76,566.40x = 7,704,508,462.08
  5. Step 5: Solve for x
    x = 7,704,508,462.08/76,566.40
  6. Step 6: Final answer
    x = 100,625.19

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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.