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Finding the Fourth Proportional to 75,538.72, 104,242.08 and 42,004

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Solution

The fourth proportional to 75,538.72, 104,242.08 and 42,004 is: 57,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,538.72 : 104,242.08 = 42,004 : x
  2. Step 2: Convert to fraction form
    75,538.72/104,242.08 = 42,004/x
  3. Step 3: Cross multiply
    75,538.72x = 104,242.08 × 42,004
  4. Step 4: Simplify right side
    75,538.72x = 4,378,584,328.32
  5. Step 5: Solve for x
    x = 4,378,584,328.32/75,538.72
  6. Step 6: Final answer
    x = 57,964.77

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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.