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Finding the Fourth Proportional to 191,810.63, 287,798.87 and 102,960.38

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Solution

The fourth proportional to 191,810.63, 287,798.87 and 102,960.38 is: 154,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,810.63 : 287,798.87 = 102,960.38 : x
  2. Step 2: Convert to fraction form
    191,810.63/287,798.87 = 102,960.38/x
  3. Step 3: Cross multiply
    191,810.63x = 287,798.87 × 102,960.38
  4. Step 4: Simplify right side
    191,810.63x = 29,631,881,995.67
  5. Step 5: Solve for x
    x = 29,631,881,995.67/191,810.63
  6. Step 6: Final answer
    x = 154,485.09

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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.