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Finding the Fourth Proportional to 76,841.76, 106,028 and 42,847.54

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Solution

The fourth proportional to 76,841.76, 106,028 and 42,847.54 is: 59,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,841.76 : 106,028 = 42,847.54 : x
  2. Step 2: Convert to fraction form
    76,841.76/106,028 = 42,847.54/x
  3. Step 3: Cross multiply
    76,841.76x = 106,028 × 42,847.54
  4. Step 4: Simplify right side
    76,841.76x = 4,543,038,971.12
  5. Step 5: Solve for x
    x = 4,543,038,971.12/76,841.76
  6. Step 6: Final answer
    x = 59,122.01

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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.