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Finding the Fourth Proportional to 113,400, 170,128.80 and 39,533.76

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Solution

The fourth proportional to 113,400, 170,128.80 and 39,533.76 is: 59,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,400 : 170,128.80 = 39,533.76 : x
  2. Step 2: Convert to fraction form
    113,400/170,128.80 = 39,533.76/x
  3. Step 3: Cross multiply
    113,400x = 170,128.80 × 39,533.76
  4. Step 4: Simplify right side
    113,400x = 6,725,831,148.29
  5. Step 5: Solve for x
    x = 6,725,831,148.29/113,400
  6. Step 6: Final answer
    x = 59,310.68

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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.