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Finding the Fourth Proportional to 70,424.50, 97,161.68 and 40,188

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Solution

The fourth proportional to 70,424.50, 97,161.68 and 40,188 is: 55,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,424.50 : 97,161.68 = 40,188 : x
  2. Step 2: Convert to fraction form
    70,424.50/97,161.68 = 40,188/x
  3. Step 3: Cross multiply
    70,424.50x = 97,161.68 × 40,188
  4. Step 4: Simplify right side
    70,424.50x = 3,904,733,595.84
  5. Step 5: Solve for x
    x = 3,904,733,595.84/70,424.50
  6. Step 6: Final answer
    x = 55,445.67

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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.