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Finding the Fourth Proportional to 100,152.10, 149,985.15 and 53,301.70

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Solution

The fourth proportional to 100,152.10, 149,985.15 and 53,301.70 is: 79,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,152.10 : 149,985.15 = 53,301.70 : x
  2. Step 2: Convert to fraction form
    100,152.10/149,985.15 = 53,301.70/x
  3. Step 3: Cross multiply
    100,152.10x = 149,985.15 × 53,301.70
  4. Step 4: Simplify right side
    100,152.10x = 7,994,463,469.76
  5. Step 5: Solve for x
    x = 7,994,463,469.76/100,152.10
  6. Step 6: Final answer
    x = 79,823.22

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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.