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Finding the Fourth Proportional to 91,820.76, 137,829.56 and 47,435.60

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Solution

The fourth proportional to 91,820.76, 137,829.56 and 47,435.60 is: 71,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,820.76 : 137,829.56 = 47,435.60 : x
  2. Step 2: Convert to fraction form
    91,820.76/137,829.56 = 47,435.60/x
  3. Step 3: Cross multiply
    91,820.76x = 137,829.56 × 47,435.60
  4. Step 4: Simplify right side
    91,820.76x = 6,538,027,876.34
  5. Step 5: Solve for x
    x = 6,538,027,876.34/91,820.76
  6. Step 6: Final answer
    x = 71,204.24

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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.