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Finding the Fourth Proportional to 120,113.64, 165,756.87 and 66,398.67

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Solution

The fourth proportional to 120,113.64, 165,756.87 and 66,398.67 is: 91,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,113.64 : 165,756.87 = 66,398.67 : x
  2. Step 2: Convert to fraction form
    120,113.64/165,756.87 = 66,398.67/x
  3. Step 3: Cross multiply
    120,113.64x = 165,756.87 × 66,398.67
  4. Step 4: Simplify right side
    120,113.64x = 11,006,035,711.36
  5. Step 5: Solve for x
    x = 11,006,035,711.36/120,113.64
  6. Step 6: Final answer
    x = 91,630.19

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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.