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Finding the Fourth Proportional to 78,585.52, 117,690.67 and 45,235.51

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Solution

The fourth proportional to 78,585.52, 117,690.67 and 45,235.51 is: 67,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,585.52 : 117,690.67 = 45,235.51 : x
  2. Step 2: Convert to fraction form
    78,585.52/117,690.67 = 45,235.51/x
  3. Step 3: Cross multiply
    78,585.52x = 117,690.67 × 45,235.51
  4. Step 4: Simplify right side
    78,585.52x = 5,323,797,904.02
  5. Step 5: Solve for x
    x = 5,323,797,904.02/78,585.52
  6. Step 6: Final answer
    x = 67,745.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.