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Finding the Fourth Proportional to 78,593.52, 108,460.44 and 42,784.56

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Solution

The fourth proportional to 78,593.52, 108,460.44 and 42,784.56 is: 59,043.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,593.52 : 108,460.44 = 42,784.56 : x
  2. Step 2: Convert to fraction form
    78,593.52/108,460.44 = 42,784.56/x
  3. Step 3: Cross multiply
    78,593.52x = 108,460.44 × 42,784.56
  4. Step 4: Simplify right side
    78,593.52x = 4,640,432,202.81
  5. Step 5: Solve for x
    x = 4,640,432,202.81/78,593.52
  6. Step 6: Final answer
    x = 59,043.45

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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.