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Finding the Fourth Proportional to 150,843.48, 208,158.30 and 83,779.80

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Solution

The fourth proportional to 150,843.48, 208,158.30 and 83,779.80 is: 115,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,843.48 : 208,158.30 = 83,779.80 : x
  2. Step 2: Convert to fraction form
    150,843.48/208,158.30 = 83,779.80/x
  3. Step 3: Cross multiply
    150,843.48x = 208,158.30 × 83,779.80
  4. Step 4: Simplify right side
    150,843.48x = 17,439,460,742.34
  5. Step 5: Solve for x
    x = 17,439,460,742.34/150,843.48
  6. Step 6: Final answer
    x = 115,612.96

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1.5x scale

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.