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Finding the Fourth Proportional to 55,884, 77,120.64 and 30,734.40

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Solution

The fourth proportional to 55,884, 77,120.64 and 30,734.40 is: 42,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,884 : 77,120.64 = 30,734.40 : x
  2. Step 2: Convert to fraction form
    55,884/77,120.64 = 30,734.40/x
  3. Step 3: Cross multiply
    55,884x = 77,120.64 × 30,734.40
  4. Step 4: Simplify right side
    55,884x = 2,370,256,598.02
  5. Step 5: Solve for x
    x = 2,370,256,598.02/55,884
  6. Step 6: Final answer
    x = 42,413.87

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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.