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Finding the Fourth Proportional to 101,970.26, 152,977.28 and 42,771.81

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Solution

The fourth proportional to 101,970.26, 152,977.28 and 42,771.81 is: 64,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.26 : 152,977.28 = 42,771.81 : x
  2. Step 2: Convert to fraction form
    101,970.26/152,977.28 = 42,771.81/x
  3. Step 3: Cross multiply
    101,970.26x = 152,977.28 × 42,771.81
  4. Step 4: Simplify right side
    101,970.26x = 6,543,115,514.28
  5. Step 5: Solve for x
    x = 6,543,115,514.28/101,970.26
  6. Step 6: Final answer
    x = 64,166.90

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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.