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Finding the Fourth Proportional to 109,721.50, 151,415.70 and 59,420.50

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Solution

The fourth proportional to 109,721.50, 151,415.70 and 59,420.50 is: 82,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,721.50 : 151,415.70 = 59,420.50 : x
  2. Step 2: Convert to fraction form
    109,721.50/151,415.70 = 59,420.50/x
  3. Step 3: Cross multiply
    109,721.50x = 151,415.70 × 59,420.50
  4. Step 4: Simplify right side
    109,721.50x = 8,997,196,601.85
  5. Step 5: Solve for x
    x = 8,997,196,601.85/109,721.50
  6. Step 6: Final answer
    x = 82,000.31

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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.