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Finding the Fourth Proportional to 73,927.81, 102,038.70 and 42,115.60

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Solution

The fourth proportional to 73,927.81, 102,038.70 and 42,115.60 is: 58,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,927.81 : 102,038.70 = 42,115.60 : x
  2. Step 2: Convert to fraction form
    73,927.81/102,038.70 = 42,115.60/x
  3. Step 3: Cross multiply
    73,927.81x = 102,038.70 × 42,115.60
  4. Step 4: Simplify right side
    73,927.81x = 4,297,421,073.72
  5. Step 5: Solve for x
    x = 4,297,421,073.72/73,927.81
  6. Step 6: Final answer
    x = 58,129.97

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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.