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Finding the Fourth Proportional to 78,634, 117,970.52 and 26,048.88

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Solution

The fourth proportional to 78,634, 117,970.52 and 26,048.88 is: 39,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,634 : 117,970.52 = 26,048.88 : x
  2. Step 2: Convert to fraction form
    78,634/117,970.52 = 26,048.88/x
  3. Step 3: Cross multiply
    78,634x = 117,970.52 × 26,048.88
  4. Step 4: Simplify right side
    78,634x = 3,072,999,919.02
  5. Step 5: Solve for x
    x = 3,072,999,919.02/78,634
  6. Step 6: Final answer
    x = 39,079.79

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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.