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Finding the Fourth Proportional to 76,486.78, 114,690.78 and 34,330.72

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Solution

The fourth proportional to 76,486.78, 114,690.78 and 34,330.72 is: 51,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486.78 : 114,690.78 = 34,330.72 : x
  2. Step 2: Convert to fraction form
    76,486.78/114,690.78 = 34,330.72/x
  3. Step 3: Cross multiply
    76,486.78x = 114,690.78 × 34,330.72
  4. Step 4: Simplify right side
    76,486.78x = 3,937,417,054.76
  5. Step 5: Solve for x
    x = 3,937,417,054.76/76,486.78
  6. Step 6: Final answer
    x = 51,478.40

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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.