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Finding the Fourth Proportional to 76,951.71, 115,602.71 and 55,670.06

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Solution

The fourth proportional to 76,951.71, 115,602.71 and 55,670.06 is: 83,631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,951.71 : 115,602.71 = 55,670.06 : x
  2. Step 2: Convert to fraction form
    76,951.71/115,602.71 = 55,670.06/x
  3. Step 3: Cross multiply
    76,951.71x = 115,602.71 × 55,670.06
  4. Step 4: Simplify right side
    76,951.71x = 6,435,608,945.50
  5. Step 5: Solve for x
    x = 6,435,608,945.50/76,951.71
  6. Step 6: Final answer
    x = 83,631.79

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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.