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Finding the Fourth Proportional to 97,917.60, 135,117 and 55,476

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Solution

The fourth proportional to 97,917.60, 135,117 and 55,476 is: 76,551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,917.60 : 135,117 = 55,476 : x
  2. Step 2: Convert to fraction form
    97,917.60/135,117 = 55,476/x
  3. Step 3: Cross multiply
    97,917.60x = 135,117 × 55,476
  4. Step 4: Simplify right side
    97,917.60x = 7,495,750,692
  5. Step 5: Solve for x
    x = 7,495,750,692/97,917.60
  6. Step 6: Final answer
    x = 76,551.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.