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Finding the Fourth Proportional to 142,161.42, 213,300.13 and 91,586.87

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Solution

The fourth proportional to 142,161.42, 213,300.13 and 91,586.87 is: 137,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,161.42 : 213,300.13 = 91,586.87 : x
  2. Step 2: Convert to fraction form
    142,161.42/213,300.13 = 91,586.87/x
  3. Step 3: Cross multiply
    142,161.42x = 213,300.13 × 91,586.87
  4. Step 4: Simplify right side
    142,161.42x = 19,535,490,819.36
  5. Step 5: Solve for x
    x = 19,535,490,819.36/142,161.42
  6. Step 6: Final answer
    x = 137,417.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.