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Finding the Fourth Proportional to 72,762.54, 100,411.26 and 40,931.46

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Solution

The fourth proportional to 72,762.54, 100,411.26 and 40,931.46 is: 56,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,762.54 : 100,411.26 = 40,931.46 : x
  2. Step 2: Convert to fraction form
    72,762.54/100,411.26 = 40,931.46/x
  3. Step 3: Cross multiply
    72,762.54x = 100,411.26 × 40,931.46
  4. Step 4: Simplify right side
    72,762.54x = 4,109,979,472.24
  5. Step 5: Solve for x
    x = 4,109,979,472.24/72,762.54
  6. Step 6: Final answer
    x = 56,484.83

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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.