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Finding the Fourth Proportional to 42,784.88, 64,174.44 and 15,079.28

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Solution

The fourth proportional to 42,784.88, 64,174.44 and 15,079.28 is: 22,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,784.88 : 64,174.44 = 15,079.28 : x
  2. Step 2: Convert to fraction form
    42,784.88/64,174.44 = 15,079.28/x
  3. Step 3: Cross multiply
    42,784.88x = 64,174.44 × 15,079.28
  4. Step 4: Simplify right side
    42,784.88x = 967,704,349.60
  5. Step 5: Solve for x
    x = 967,704,349.60/42,784.88
  6. Step 6: Final answer
    x = 22,617.90

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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.