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Finding the Fourth Proportional to 78,411.84, 117,619.68 and 23,009.60

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Solution

The fourth proportional to 78,411.84, 117,619.68 and 23,009.60 is: 34,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,411.84 : 117,619.68 = 23,009.60 : x
  2. Step 2: Convert to fraction form
    78,411.84/117,619.68 = 23,009.60/x
  3. Step 3: Cross multiply
    78,411.84x = 117,619.68 × 23,009.60
  4. Step 4: Simplify right side
    78,411.84x = 2,706,381,788.93
  5. Step 5: Solve for x
    x = 2,706,381,788.93/78,411.84
  6. Step 6: Final answer
    x = 34,514.96

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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.