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Finding the Fourth Proportional to 72,615.76, 100,219.14 and 40,784.65

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Solution

The fourth proportional to 72,615.76, 100,219.14 and 40,784.65 is: 56,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,615.76 : 100,219.14 = 40,784.65 : x
  2. Step 2: Convert to fraction form
    72,615.76/100,219.14 = 40,784.65/x
  3. Step 3: Cross multiply
    72,615.76x = 100,219.14 × 40,784.65
  4. Step 4: Simplify right side
    72,615.76x = 4,087,402,297.65
  5. Step 5: Solve for x
    x = 4,087,402,297.65/72,615.76
  6. Step 6: Final answer
    x = 56,288.09

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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.