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Finding the Fourth Proportional to 231,975, 347,962.50 and 56,871

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Solution

The fourth proportional to 231,975, 347,962.50 and 56,871 is: 85,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,975 : 347,962.50 = 56,871 : x
  2. Step 2: Convert to fraction form
    231,975/347,962.50 = 56,871/x
  3. Step 3: Cross multiply
    231,975x = 347,962.50 × 56,871
  4. Step 4: Simplify right side
    231,975x = 19,788,975,337.50
  5. Step 5: Solve for x
    x = 19,788,975,337.50/231,975
  6. Step 6: Final answer
    x = 85,306.50

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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.