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Finding the Fourth Proportional to 77,808.35, 107,374.11 and 43,816.70

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Solution

The fourth proportional to 77,808.35, 107,374.11 and 43,816.70 is: 60,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,808.35 : 107,374.11 = 43,816.70 : x
  2. Step 2: Convert to fraction form
    77,808.35/107,374.11 = 43,816.70/x
  3. Step 3: Cross multiply
    77,808.35x = 107,374.11 × 43,816.70
  4. Step 4: Simplify right side
    77,808.35x = 4,704,779,165.64
  5. Step 5: Solve for x
    x = 4,704,779,165.64/77,808.35
  6. Step 6: Final answer
    x = 60,466.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.