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Finding the Fourth Proportional to 65,485.48, 90,341.22 and 44,257

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Solution

The fourth proportional to 65,485.48, 90,341.22 and 44,257 is: 61,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,485.48 : 90,341.22 = 44,257 : x
  2. Step 2: Convert to fraction form
    65,485.48/90,341.22 = 44,257/x
  3. Step 3: Cross multiply
    65,485.48x = 90,341.22 × 44,257
  4. Step 4: Simplify right side
    65,485.48x = 3,998,231,373.54
  5. Step 5: Solve for x
    x = 3,998,231,373.54/65,485.48
  6. Step 6: Final answer
    x = 61,055.24

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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.