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Finding the Fourth Proportional to 78,253.86, 117,382.02 and 19,090.65

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Solution

The fourth proportional to 78,253.86, 117,382.02 and 19,090.65 is: 28,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,253.86 : 117,382.02 = 19,090.65 : x
  2. Step 2: Convert to fraction form
    78,253.86/117,382.02 = 19,090.65/x
  3. Step 3: Cross multiply
    78,253.86x = 117,382.02 × 19,090.65
  4. Step 4: Simplify right side
    78,253.86x = 2,240,899,060.11
  5. Step 5: Solve for x
    x = 2,240,899,060.11/78,253.86
  6. Step 6: Final answer
    x = 28,636.28

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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.