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Finding the Fourth Proportional to 72,808.47, 100,462.28 and 40,970.61

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Solution

The fourth proportional to 72,808.47, 100,462.28 and 40,970.61 is: 56,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,808.47 : 100,462.28 = 40,970.61 : x
  2. Step 2: Convert to fraction form
    72,808.47/100,462.28 = 40,970.61/x
  3. Step 3: Cross multiply
    72,808.47x = 100,462.28 × 40,970.61
  4. Step 4: Simplify right side
    72,808.47x = 4,116,000,688.74
  5. Step 5: Solve for x
    x = 4,116,000,688.74/72,808.47
  6. Step 6: Final answer
    x = 56,531.89

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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.