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Finding the Fourth Proportional to 65,031.76, 89,742.54 and 36,351.28

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Solution

The fourth proportional to 65,031.76, 89,742.54 and 36,351.28 is: 50,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,031.76 : 89,742.54 = 36,351.28 : x
  2. Step 2: Convert to fraction form
    65,031.76/89,742.54 = 36,351.28/x
  3. Step 3: Cross multiply
    65,031.76x = 89,742.54 × 36,351.28
  4. Step 4: Simplify right side
    65,031.76x = 3,262,256,199.45
  5. Step 5: Solve for x
    x = 3,262,256,199.45/65,031.76
  6. Step 6: Final answer
    x = 50,164.05

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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.