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Finding the Fourth Proportional to 72,580.40, 100,154.04 and 40,742

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Solution

The fourth proportional to 72,580.40, 100,154.04 and 40,742 is: 56,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,580.40 : 100,154.04 = 40,742 : x
  2. Step 2: Convert to fraction form
    72,580.40/100,154.04 = 40,742/x
  3. Step 3: Cross multiply
    72,580.40x = 100,154.04 × 40,742
  4. Step 4: Simplify right side
    72,580.40x = 4,080,475,897.68
  5. Step 5: Solve for x
    x = 4,080,475,897.68/72,580.40
  6. Step 6: Final answer
    x = 56,220.08

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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.