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Finding the Fourth Proportional to 77,438.58, 116,151.48 and 54,855.98

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Solution

The fourth proportional to 77,438.58, 116,151.48 and 54,855.98 is: 82,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,438.58 : 116,151.48 = 54,855.98 : x
  2. Step 2: Convert to fraction form
    77,438.58/116,151.48 = 54,855.98/x
  3. Step 3: Cross multiply
    77,438.58x = 116,151.48 × 54,855.98
  4. Step 4: Simplify right side
    77,438.58x = 6,371,602,683.09
  5. Step 5: Solve for x
    x = 6,371,602,683.09/77,438.58
  6. Step 6: Final answer
    x = 82,279.44

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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.