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Finding the Fourth Proportional to 65,289.78, 90,014.22 and 47,125.26

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Solution

The fourth proportional to 65,289.78, 90,014.22 and 47,125.26 is: 64,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,289.78 : 90,014.22 = 47,125.26 : x
  2. Step 2: Convert to fraction form
    65,289.78/90,014.22 = 47,125.26/x
  3. Step 3: Cross multiply
    65,289.78x = 90,014.22 × 47,125.26
  4. Step 4: Simplify right side
    65,289.78x = 4,241,943,521.20
  5. Step 5: Solve for x
    x = 4,241,943,521.20/65,289.78
  6. Step 6: Final answer
    x = 64,971.02

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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.