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Finding the Fourth Proportional to 54,718.47, 75,512.16 and 30,845.16

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Solution

The fourth proportional to 54,718.47, 75,512.16 and 30,845.16 is: 42,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,718.47 : 75,512.16 = 30,845.16 : x
  2. Step 2: Convert to fraction form
    54,718.47/75,512.16 = 30,845.16/x
  3. Step 3: Cross multiply
    54,718.47x = 75,512.16 × 30,845.16
  4. Step 4: Simplify right side
    54,718.47x = 2,329,184,657.15
  5. Step 5: Solve for x
    x = 2,329,184,657.15/54,718.47
  6. Step 6: Final answer
    x = 42,566.70

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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.