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Finding the Fourth Proportional to 61,641.90, 85,064.42 and 34,783.72

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Solution

The fourth proportional to 61,641.90, 85,064.42 and 34,783.72 is: 48,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,641.90 : 85,064.42 = 34,783.72 : x
  2. Step 2: Convert to fraction form
    61,641.90/85,064.42 = 34,783.72/x
  3. Step 3: Cross multiply
    61,641.90x = 85,064.42 × 34,783.72
  4. Step 4: Simplify right side
    61,641.90x = 2,958,856,967.24
  5. Step 5: Solve for x
    x = 2,958,856,967.24/61,641.90
  6. Step 6: Final answer
    x = 48,000.74

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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.