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Finding the Fourth Proportional to 72,281.64, 99,748.68 and 40,456.68

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Solution

The fourth proportional to 72,281.64, 99,748.68 and 40,456.68 is: 55,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,281.64 : 99,748.68 = 40,456.68 : x
  2. Step 2: Convert to fraction form
    72,281.64/99,748.68 = 40,456.68/x
  3. Step 3: Cross multiply
    72,281.64x = 99,748.68 × 40,456.68
  4. Step 4: Simplify right side
    72,281.64x = 4,035,500,427.18
  5. Step 5: Solve for x
    x = 4,035,500,427.18/72,281.64
  6. Step 6: Final answer
    x = 55,830.23

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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.