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Finding the Fourth Proportional to 191,455.74, 264,198.42 and 105,397.92

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Solution

The fourth proportional to 191,455.74, 264,198.42 and 105,397.92 is: 145,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,455.74 : 264,198.42 = 105,397.92 : x
  2. Step 2: Convert to fraction form
    191,455.74/264,198.42 = 105,397.92/x
  3. Step 3: Cross multiply
    191,455.74x = 264,198.42 × 105,397.92
  4. Step 4: Simplify right side
    191,455.74x = 27,845,963,935.29
  5. Step 5: Solve for x
    x = 27,845,963,935.29/191,455.74
  6. Step 6: Final answer
    x = 145,443.35

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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.