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Finding the Fourth Proportional to 191,818.42, 264,703.35 and 105,781.03

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Solution

The fourth proportional to 191,818.42, 264,703.35 and 105,781.03 is: 145,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,818.42 : 264,703.35 = 105,781.03 : x
  2. Step 2: Convert to fraction form
    191,818.42/264,703.35 = 105,781.03/x
  3. Step 3: Cross multiply
    191,818.42x = 264,703.35 × 105,781.03
  4. Step 4: Simplify right side
    191,818.42x = 28,000,593,007.45
  5. Step 5: Solve for x
    x = 28,000,593,007.45/191,818.42
  6. Step 6: Final answer
    x = 145,974.47

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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.