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Finding the Fourth Proportional to 65,257, 90,047.02 and 38,393.60

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Solution

The fourth proportional to 65,257, 90,047.02 and 38,393.60 is: 52,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,257 : 90,047.02 = 38,393.60 : x
  2. Step 2: Convert to fraction form
    65,257/90,047.02 = 38,393.60/x
  3. Step 3: Cross multiply
    65,257x = 90,047.02 × 38,393.60
  4. Step 4: Simplify right side
    65,257x = 3,457,229,267.07
  5. Step 5: Solve for x
    x = 3,457,229,267.07/65,257
  6. Step 6: Final answer
    x = 52,978.67

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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.