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Finding the Fourth Proportional to 55,919.50, 77,170.53 and 30,769

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Solution

The fourth proportional to 55,919.50, 77,170.53 and 30,769 is: 42,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,919.50 : 77,170.53 = 30,769 : x
  2. Step 2: Convert to fraction form
    55,919.50/77,170.53 = 30,769/x
  3. Step 3: Cross multiply
    55,919.50x = 77,170.53 × 30,769
  4. Step 4: Simplify right side
    55,919.50x = 2,374,460,037.57
  5. Step 5: Solve for x
    x = 2,374,460,037.57/55,919.50
  6. Step 6: Final answer
    x = 42,462.11

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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.