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Finding the Fourth Proportional to 55,919, 77,168.76 and 30,769.04

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Solution

The fourth proportional to 55,919, 77,168.76 and 30,769.04 is: 42,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,919 : 77,168.76 = 30,769.04 : x
  2. Step 2: Convert to fraction form
    55,919/77,168.76 = 30,769.04/x
  3. Step 3: Cross multiply
    55,919x = 77,168.76 × 30,769.04
  4. Step 4: Simplify right side
    55,919x = 2,374,408,663.19
  5. Step 5: Solve for x
    x = 2,374,408,663.19/55,919
  6. Step 6: Final answer
    x = 42,461.57

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1.5x scale

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.