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Finding the Fourth Proportional to 72,948.90, 100,670.65 and 40,682.66

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Solution

The fourth proportional to 72,948.90, 100,670.65 and 40,682.66 is: 56,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,948.90 : 100,670.65 = 40,682.66 : x
  2. Step 2: Convert to fraction form
    72,948.90/100,670.65 = 40,682.66/x
  3. Step 3: Cross multiply
    72,948.90x = 100,670.65 × 40,682.66
  4. Step 4: Simplify right side
    72,948.90x = 4,095,549,220.87
  5. Step 5: Solve for x
    x = 4,095,549,220.87/72,948.90
  6. Step 6: Final answer
    x = 56,142.71

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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.