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Finding the Fourth Proportional to 191,543.22, 264,209.85 and 137,743.02

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Solution

The fourth proportional to 191,543.22, 264,209.85 and 137,743.02 is: 189,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,543.22 : 264,209.85 = 137,743.02 : x
  2. Step 2: Convert to fraction form
    191,543.22/264,209.85 = 137,743.02/x
  3. Step 3: Cross multiply
    191,543.22x = 264,209.85 × 137,743.02
  4. Step 4: Simplify right side
    191,543.22x = 36,393,062,652.75
  5. Step 5: Solve for x
    x = 36,393,062,652.75/191,543.22
  6. Step 6: Final answer
    x = 189,999.22

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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.