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Finding the Fourth Proportional to 74,500.96, 102,811.45 and 40,509.42

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Solution

The fourth proportional to 74,500.96, 102,811.45 and 40,509.42 is: 55,903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,500.96 : 102,811.45 = 40,509.42 : x
  2. Step 2: Convert to fraction form
    74,500.96/102,811.45 = 40,509.42/x
  3. Step 3: Cross multiply
    74,500.96x = 102,811.45 × 40,509.42
  4. Step 4: Simplify right side
    74,500.96x = 4,164,832,259.50
  5. Step 5: Solve for x
    x = 4,164,832,259.50/74,500.96
  6. Step 6: Final answer
    x = 55,903.07

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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.