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Finding the Fourth Proportional to 77,368.96, 106,769.10 and 43,377.72

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Solution

The fourth proportional to 77,368.96, 106,769.10 and 43,377.72 is: 59,861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,368.96 : 106,769.10 = 43,377.72 : x
  2. Step 2: Convert to fraction form
    77,368.96/106,769.10 = 43,377.72/x
  3. Step 3: Cross multiply
    77,368.96x = 106,769.10 × 43,377.72
  4. Step 4: Simplify right side
    77,368.96x = 4,631,400,124.45
  5. Step 5: Solve for x
    x = 4,631,400,124.45/77,368.96
  6. Step 6: Final answer
    x = 59,861.22

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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.