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Finding the Fourth Proportional to 108,093.60, 161,848.80 and 78,350.40

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Solution

The fourth proportional to 108,093.60, 161,848.80 and 78,350.40 is: 117,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,093.60 : 161,848.80 = 78,350.40 : x
  2. Step 2: Convert to fraction form
    108,093.60/161,848.80 = 78,350.40/x
  3. Step 3: Cross multiply
    108,093.60x = 161,848.80 × 78,350.40
  4. Step 4: Simplify right side
    108,093.60x = 12,680,918,219.52
  5. Step 5: Solve for x
    x = 12,680,918,219.52/108,093.60
  6. Step 6: Final answer
    x = 117,314.24

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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.