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Finding the Fourth Proportional to 78,630.60, 117,816.30 and 65,411.40

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Solution

The fourth proportional to 78,630.60, 117,816.30 and 65,411.40 is: 98,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,630.60 : 117,816.30 = 65,411.40 : x
  2. Step 2: Convert to fraction form
    78,630.60/117,816.30 = 65,411.40/x
  3. Step 3: Cross multiply
    78,630.60x = 117,816.30 × 65,411.40
  4. Step 4: Simplify right side
    78,630.60x = 7,706,529,125.82
  5. Step 5: Solve for x
    x = 7,706,529,125.82/78,630.60
  6. Step 6: Final answer
    x = 98,009.29

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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.