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Finding the Fourth Proportional to 75,969.92, 104,778.72 and 70,877

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Solution

The fourth proportional to 75,969.92, 104,778.72 and 70,877 is: 97,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,969.92 : 104,778.72 = 70,877 : x
  2. Step 2: Convert to fraction form
    75,969.92/104,778.72 = 70,877/x
  3. Step 3: Cross multiply
    75,969.92x = 104,778.72 × 70,877
  4. Step 4: Simplify right side
    75,969.92x = 7,426,401,337.44
  5. Step 5: Solve for x
    x = 7,426,401,337.44/75,969.92
  6. Step 6: Final answer
    x = 97,754.50

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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.