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Finding the Fourth Proportional to 64,971.28, 89,645.16 and 38,112.40

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Solution

The fourth proportional to 64,971.28, 89,645.16 and 38,112.40 is: 52,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,971.28 : 89,645.16 = 38,112.40 : x
  2. Step 2: Convert to fraction form
    64,971.28/89,645.16 = 38,112.40/x
  3. Step 3: Cross multiply
    64,971.28x = 89,645.16 × 38,112.40
  4. Step 4: Simplify right side
    64,971.28x = 3,416,592,195.98
  5. Step 5: Solve for x
    x = 3,416,592,195.98/64,971.28
  6. Step 6: Final answer
    x = 52,586.19

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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.