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Finding the Fourth Proportional to 72,965.71, 100,688.34 and 42,336.44

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Solution

The fourth proportional to 72,965.71, 100,688.34 and 42,336.44 is: 58,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,965.71 : 100,688.34 = 42,336.44 : x
  2. Step 2: Convert to fraction form
    72,965.71/100,688.34 = 42,336.44/x
  3. Step 3: Cross multiply
    72,965.71x = 100,688.34 × 42,336.44
  4. Step 4: Simplify right side
    72,965.71x = 4,262,785,865.11
  5. Step 5: Solve for x
    x = 4,262,785,865.11/72,965.71
  6. Step 6: Final answer
    x = 58,421.77

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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.