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Finding the Fourth Proportional to 65,713.44, 90,684.54 and 35,498.76

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Solution

The fourth proportional to 65,713.44, 90,684.54 and 35,498.76 is: 48,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.44 : 90,684.54 = 35,498.76 : x
  2. Step 2: Convert to fraction form
    65,713.44/90,684.54 = 35,498.76/x
  3. Step 3: Cross multiply
    65,713.44x = 90,684.54 × 35,498.76
  4. Step 4: Simplify right side
    65,713.44x = 3,219,188,721.17
  5. Step 5: Solve for x
    x = 3,219,188,721.17/65,713.44
  6. Step 6: Final answer
    x = 48,988.28

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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.