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Finding the Fourth Proportional to 100,577.10, 150,865.65 and 99,021.90

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Solution

The fourth proportional to 100,577.10, 150,865.65 and 99,021.90 is: 148,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577.10 : 150,865.65 = 99,021.90 : x
  2. Step 2: Convert to fraction form
    100,577.10/150,865.65 = 99,021.90/x
  3. Step 3: Cross multiply
    100,577.10x = 150,865.65 × 99,021.90
  4. Step 4: Simplify right side
    100,577.10x = 14,939,003,307.74
  5. Step 5: Solve for x
    x = 14,939,003,307.74/100,577.10
  6. Step 6: Final answer
    x = 148,532.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.