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Finding the Fourth Proportional to 72,579.40, 100,152.66 and 40,741

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Solution

The fourth proportional to 72,579.40, 100,152.66 and 40,741 is: 56,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,579.40 : 100,152.66 = 40,741 : x
  2. Step 2: Convert to fraction form
    72,579.40/100,152.66 = 40,741/x
  3. Step 3: Cross multiply
    72,579.40x = 100,152.66 × 40,741
  4. Step 4: Simplify right side
    72,579.40x = 4,080,319,521.06
  5. Step 5: Solve for x
    x = 4,080,319,521.06/72,579.40
  6. Step 6: Final answer
    x = 56,218.70

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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.