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Finding the Fourth Proportional to 73,078.29, 100,848.51 and 42,857.46

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Solution

The fourth proportional to 73,078.29, 100,848.51 and 42,857.46 is: 59,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,078.29 : 100,848.51 = 42,857.46 : x
  2. Step 2: Convert to fraction form
    73,078.29/100,848.51 = 42,857.46/x
  3. Step 3: Cross multiply
    73,078.29x = 100,848.51 × 42,857.46
  4. Step 4: Simplify right side
    73,078.29x = 4,322,110,983.38
  5. Step 5: Solve for x
    x = 4,322,110,983.38/73,078.29
  6. Step 6: Final answer
    x = 59,143.57

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1.5x scale

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.