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Finding the Fourth Proportional to 42,703.86, 64,094.90 and 21,658.44

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Solution

The fourth proportional to 42,703.86, 64,094.90 and 21,658.44 is: 32,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,703.86 : 64,094.90 = 21,658.44 : x
  2. Step 2: Convert to fraction form
    42,703.86/64,094.90 = 21,658.44/x
  3. Step 3: Cross multiply
    42,703.86x = 64,094.90 × 21,658.44
  4. Step 4: Simplify right side
    42,703.86x = 1,388,195,317.49
  5. Step 5: Solve for x
    x = 1,388,195,317.49/42,703.86
  6. Step 6: Final answer
    x = 32,507.49

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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.