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Finding the Fourth Proportional to 191,890.32, 264,813.48 and 107,006.64

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Solution

The fourth proportional to 191,890.32, 264,813.48 and 107,006.64 is: 147,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,890.32 : 264,813.48 = 107,006.64 : x
  2. Step 2: Convert to fraction form
    191,890.32/264,813.48 = 107,006.64/x
  3. Step 3: Cross multiply
    191,890.32x = 264,813.48 × 107,006.64
  4. Step 4: Simplify right side
    191,890.32x = 28,336,800,721.51
  5. Step 5: Solve for x
    x = 28,336,800,721.51/191,890.32
  6. Step 6: Final answer
    x = 147,671.86

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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.