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Finding the Fourth Proportional to 42,803.76, 64,231.03 and 19,429.86

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Solution

The fourth proportional to 42,803.76, 64,231.03 and 19,429.86 is: 29,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,803.76 : 64,231.03 = 19,429.86 : x
  2. Step 2: Convert to fraction form
    42,803.76/64,231.03 = 19,429.86/x
  3. Step 3: Cross multiply
    42,803.76x = 64,231.03 × 19,429.86
  4. Step 4: Simplify right side
    42,803.76x = 1,247,999,920.56
  5. Step 5: Solve for x
    x = 1,247,999,920.56/42,803.76
  6. Step 6: Final answer
    x = 29,156.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.