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Finding the Fourth Proportional to 76,486.77, 114,690.76 and 34,330.71

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Solution

The fourth proportional to 76,486.77, 114,690.76 and 34,330.71 is: 51,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486.77 : 114,690.76 = 34,330.71 : x
  2. Step 2: Convert to fraction form
    76,486.77/114,690.76 = 34,330.71/x
  3. Step 3: Cross multiply
    76,486.77x = 114,690.76 × 34,330.71
  4. Step 4: Simplify right side
    76,486.77x = 3,937,415,565.50
  5. Step 5: Solve for x
    x = 3,937,415,565.50/76,486.77
  6. Step 6: Final answer
    x = 51,478.39

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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.