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Finding the Fourth Proportional to 77,807.70, 116,711.64 and 21,647.83

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Solution

The fourth proportional to 77,807.70, 116,711.64 and 21,647.83 is: 32,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,807.70 : 116,711.64 = 21,647.83 : x
  2. Step 2: Convert to fraction form
    77,807.70/116,711.64 = 21,647.83/x
  3. Step 3: Cross multiply
    77,807.70x = 116,711.64 × 21,647.83
  4. Step 4: Simplify right side
    77,807.70x = 2,526,553,741.74
  5. Step 5: Solve for x
    x = 2,526,553,741.74/77,807.70
  6. Step 6: Final answer
    x = 32,471.77

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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.