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Finding the Fourth Proportional to 70,389, 97,144.92 and 40,178.63

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Solution

The fourth proportional to 70,389, 97,144.92 and 40,178.63 is: 55,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,389 : 97,144.92 = 40,178.63 : x
  2. Step 2: Convert to fraction form
    70,389/97,144.92 = 40,178.63/x
  3. Step 3: Cross multiply
    70,389x = 97,144.92 × 40,178.63
  4. Step 4: Simplify right side
    70,389x = 3,903,150,039.92
  5. Step 5: Solve for x
    x = 3,903,150,039.92/70,389
  6. Step 6: Final answer
    x = 55,451.14

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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.