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Finding the Fourth Proportional to 45,302.52, 68,064.54 and 42,784.68

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Solution

The fourth proportional to 45,302.52, 68,064.54 and 42,784.68 is: 64,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,302.52 : 68,064.54 = 42,784.68 : x
  2. Step 2: Convert to fraction form
    45,302.52/68,064.54 = 42,784.68/x
  3. Step 3: Cross multiply
    45,302.52x = 68,064.54 × 42,784.68
  4. Step 4: Simplify right side
    45,302.52x = 2,912,119,563.25
  5. Step 5: Solve for x
    x = 2,912,119,563.25/45,302.52
  6. Step 6: Final answer
    x = 64,281.62

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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.