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Finding the Fourth Proportional to 78,643.77, 117,972.33 and 69,392.76

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Solution

The fourth proportional to 78,643.77, 117,972.33 and 69,392.76 is: 104,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,643.77 : 117,972.33 = 69,392.76 : x
  2. Step 2: Convert to fraction form
    78,643.77/117,972.33 = 69,392.76/x
  3. Step 3: Cross multiply
    78,643.77x = 117,972.33 × 69,392.76
  4. Step 4: Simplify right side
    78,643.77x = 8,186,424,992.47
  5. Step 5: Solve for x
    x = 8,186,424,992.47/78,643.77
  6. Step 6: Final answer
    x = 104,095.03

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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.