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Finding the Fourth Proportional to 72,807.81, 100,477.17 and 42,596.30

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Solution

The fourth proportional to 72,807.81, 100,477.17 and 42,596.30 is: 58,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,807.81 : 100,477.17 = 42,596.30 : x
  2. Step 2: Convert to fraction form
    72,807.81/100,477.17 = 42,596.30/x
  3. Step 3: Cross multiply
    72,807.81x = 100,477.17 × 42,596.30
  4. Step 4: Simplify right side
    72,807.81x = 4,279,955,174.09
  5. Step 5: Solve for x
    x = 4,279,955,174.09/72,807.81
  6. Step 6: Final answer
    x = 58,784.29

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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.