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Finding the Fourth Proportional to 78,652.09, 108,541.53 and 42,842.01

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Solution

The fourth proportional to 78,652.09, 108,541.53 and 42,842.01 is: 59,122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,652.09 : 108,541.53 = 42,842.01 : x
  2. Step 2: Convert to fraction form
    78,652.09/108,541.53 = 42,842.01/x
  3. Step 3: Cross multiply
    78,652.09x = 108,541.53 × 42,842.01
  4. Step 4: Simplify right side
    78,652.09x = 4,650,137,313.68
  5. Step 5: Solve for x
    x = 4,650,137,313.68/78,652.09
  6. Step 6: Final answer
    x = 59,122.87

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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.