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Finding the Fourth Proportional to 101,649.50, 140,276.32 and 61,905.50

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Solution

The fourth proportional to 101,649.50, 140,276.32 and 61,905.50 is: 85,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,649.50 : 140,276.32 = 61,905.50 : x
  2. Step 2: Convert to fraction form
    101,649.50/140,276.32 = 61,905.50/x
  3. Step 3: Cross multiply
    101,649.50x = 140,276.32 × 61,905.50
  4. Step 4: Simplify right side
    101,649.50x = 8,683,875,727.76
  5. Step 5: Solve for x
    x = 8,683,875,727.76/101,649.50
  6. Step 6: Final answer
    x = 85,429.60

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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.