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Finding the Fourth Proportional to 77,948.70, 117,009.45 and 48,399.90

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Solution

The fourth proportional to 77,948.70, 117,009.45 and 48,399.90 is: 72,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,948.70 : 117,009.45 = 48,399.90 : x
  2. Step 2: Convert to fraction form
    77,948.70/117,009.45 = 48,399.90/x
  3. Step 3: Cross multiply
    77,948.70x = 117,009.45 × 48,399.90
  4. Step 4: Simplify right side
    77,948.70x = 5,663,245,679.06
  5. Step 5: Solve for x
    x = 5,663,245,679.06/77,948.70
  6. Step 6: Final answer
    x = 72,653.50

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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.