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Finding the Fourth Proportional to 78,643, 117,983.94 and 23,239

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Solution

The fourth proportional to 78,643, 117,983.94 and 23,239 is: 34,864.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,643 : 117,983.94 = 23,239 : x
  2. Step 2: Convert to fraction form
    78,643/117,983.94 = 23,239/x
  3. Step 3: Cross multiply
    78,643x = 117,983.94 × 23,239
  4. Step 4: Simplify right side
    78,643x = 2,741,828,781.66
  5. Step 5: Solve for x
    x = 2,741,828,781.66/78,643
  6. Step 6: Final answer
    x = 34,864.24

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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.