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Finding the Fourth Proportional to 77,971.78, 116,898.20 and 64,603.74

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Solution

The fourth proportional to 77,971.78, 116,898.20 and 64,603.74 is: 96,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,971.78 : 116,898.20 = 64,603.74 : x
  2. Step 2: Convert to fraction form
    77,971.78/116,898.20 = 64,603.74/x
  3. Step 3: Cross multiply
    77,971.78x = 116,898.20 × 64,603.74
  4. Step 4: Simplify right side
    77,971.78x = 7,552,060,596.25
  5. Step 5: Solve for x
    x = 7,552,060,596.25/77,971.78
  6. Step 6: Final answer
    x = 96,856.33

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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.