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Finding the Fourth Proportional to 191,790.77, 287,769.26 and 102,940.45

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Solution

The fourth proportional to 191,790.77, 287,769.26 and 102,940.45 is: 154,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,790.77 : 287,769.26 = 102,940.45 : x
  2. Step 2: Convert to fraction form
    191,790.77/287,769.26 = 102,940.45/x
  3. Step 3: Cross multiply
    191,790.77x = 287,769.26 × 102,940.45
  4. Step 4: Simplify right side
    191,790.77x = 29,623,097,698.16
  5. Step 5: Solve for x
    x = 29,623,097,698.16/191,790.77
  6. Step 6: Final answer
    x = 154,455.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.