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Finding the Fourth Proportional to 73,987.80, 102,096.12 and 42,155.88

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Solution

The fourth proportional to 73,987.80, 102,096.12 and 42,155.88 is: 58,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,987.80 : 102,096.12 = 42,155.88 : x
  2. Step 2: Convert to fraction form
    73,987.80/102,096.12 = 42,155.88/x
  3. Step 3: Cross multiply
    73,987.80x = 102,096.12 × 42,155.88
  4. Step 4: Simplify right side
    73,987.80x = 4,303,951,783.19
  5. Step 5: Solve for x
    x = 4,303,951,783.19/73,987.80
  6. Step 6: Final answer
    x = 58,171.10

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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.