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Finding the Fourth Proportional to 77,431.50, 116,068.82 and 52,474.08

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Solution

The fourth proportional to 77,431.50, 116,068.82 and 52,474.08 is: 78,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,431.50 : 116,068.82 = 52,474.08 : x
  2. Step 2: Convert to fraction form
    77,431.50/116,068.82 = 52,474.08/x
  3. Step 3: Cross multiply
    77,431.50x = 116,068.82 × 52,474.08
  4. Step 4: Simplify right side
    77,431.50x = 6,090,604,283.82
  5. Step 5: Solve for x
    x = 6,090,604,283.82/77,431.50
  6. Step 6: Final answer
    x = 78,657.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.