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Finding the Fourth Proportional to 65,501.86, 90,388.38 and 38,645.50

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Solution

The fourth proportional to 65,501.86, 90,388.38 and 38,645.50 is: 53,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,501.86 : 90,388.38 = 38,645.50 : x
  2. Step 2: Convert to fraction form
    65,501.86/90,388.38 = 38,645.50/x
  3. Step 3: Cross multiply
    65,501.86x = 90,388.38 × 38,645.50
  4. Step 4: Simplify right side
    65,501.86x = 3,493,104,139.29
  5. Step 5: Solve for x
    x = 3,493,104,139.29/65,501.86
  6. Step 6: Final answer
    x = 53,328.32

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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.