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Finding the Fourth Proportional to 78,509.36, 117,752.43 and 25,919.30

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Solution

The fourth proportional to 78,509.36, 117,752.43 and 25,919.30 is: 38,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.36 : 117,752.43 = 25,919.30 : x
  2. Step 2: Convert to fraction form
    78,509.36/117,752.43 = 25,919.30/x
  3. Step 3: Cross multiply
    78,509.36x = 117,752.43 × 25,919.30
  4. Step 4: Simplify right side
    78,509.36x = 3,052,060,558.90
  5. Step 5: Solve for x
    x = 3,052,060,558.90/78,509.36
  6. Step 6: Final answer
    x = 38,875.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.