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Finding the Fourth Proportional to 78,985, 118,496.94 and 23,581

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Solution

The fourth proportional to 78,985, 118,496.94 and 23,581 is: 35,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,985 : 118,496.94 = 23,581 : x
  2. Step 2: Convert to fraction form
    78,985/118,496.94 = 23,581/x
  3. Step 3: Cross multiply
    78,985x = 118,496.94 × 23,581
  4. Step 4: Simplify right side
    78,985x = 2,794,276,342.14
  5. Step 5: Solve for x
    x = 2,794,276,342.14/78,985
  6. Step 6: Final answer
    x = 35,377.30

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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.