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Finding the Fourth Proportional to 85,689.23, 118,249.63 and 47,448

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Solution

The fourth proportional to 85,689.23, 118,249.63 and 47,448 is: 65,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,689.23 : 118,249.63 = 47,448 : x
  2. Step 2: Convert to fraction form
    85,689.23/118,249.63 = 47,448/x
  3. Step 3: Cross multiply
    85,689.23x = 118,249.63 × 47,448
  4. Step 4: Simplify right side
    85,689.23x = 5,610,708,325.62
  5. Step 5: Solve for x
    x = 5,610,708,325.62/85,689.23
  6. Step 6: Final answer
    x = 65,477.41

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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.