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Finding the Fourth Proportional to 75,581, 104,301.78 and 42,047

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Solution

The fourth proportional to 75,581, 104,301.78 and 42,047 is: 58,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,581 : 104,301.78 = 42,047 : x
  2. Step 2: Convert to fraction form
    75,581/104,301.78 = 42,047/x
  3. Step 3: Cross multiply
    75,581x = 104,301.78 × 42,047
  4. Step 4: Simplify right side
    75,581x = 4,385,576,943.66
  5. Step 5: Solve for x
    x = 4,385,576,943.66/75,581
  6. Step 6: Final answer
    x = 58,024.86

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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.