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Finding the Fourth Proportional to 145,102.18, 200,183.76 and 83,807.86

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Solution

The fourth proportional to 145,102.18, 200,183.76 and 83,807.86 is: 115,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,102.18 : 200,183.76 = 83,807.86 : x
  2. Step 2: Convert to fraction form
    145,102.18/200,183.76 = 83,807.86/x
  3. Step 3: Cross multiply
    145,102.18x = 200,183.76 × 83,807.86
  4. Step 4: Simplify right side
    145,102.18x = 16,776,972,532.35
  5. Step 5: Solve for x
    x = 16,776,972,532.35/145,102.18
  6. Step 6: Final answer
    x = 115,621.78

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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.