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Finding the Fourth Proportional to 72,647.18, 100,242.48 and 40,809.74

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Solution

The fourth proportional to 72,647.18, 100,242.48 and 40,809.74 is: 56,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,647.18 : 100,242.48 = 40,809.74 : x
  2. Step 2: Convert to fraction form
    72,647.18/100,242.48 = 40,809.74/x
  3. Step 3: Cross multiply
    72,647.18x = 100,242.48 × 40,809.74
  4. Step 4: Simplify right side
    72,647.18x = 4,090,869,545.76
  5. Step 5: Solve for x
    x = 4,090,869,545.76/72,647.18
  6. Step 6: Final answer
    x = 56,311.47

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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.