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Finding the Fourth Proportional to 78,534, 117,838.80 and 39,094.56

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Solution

The fourth proportional to 78,534, 117,838.80 and 39,094.56 is: 58,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,534 : 117,838.80 = 39,094.56 : x
  2. Step 2: Convert to fraction form
    78,534/117,838.80 = 39,094.56/x
  3. Step 3: Cross multiply
    78,534x = 117,838.80 × 39,094.56
  4. Step 4: Simplify right side
    78,534x = 4,606,856,036.93
  5. Step 5: Solve for x
    x = 4,606,856,036.93/78,534
  6. Step 6: Final answer
    x = 58,660.66

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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.