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Finding the Fourth Proportional to 192,075.66, 287,416.26 and 138,874.14

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Solution

The fourth proportional to 192,075.66, 287,416.26 and 138,874.14 is: 207,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,075.66 : 287,416.26 = 138,874.14 : x
  2. Step 2: Convert to fraction form
    192,075.66/287,416.26 = 138,874.14/x
  3. Step 3: Cross multiply
    192,075.66x = 287,416.26 × 138,874.14
  4. Step 4: Simplify right side
    192,075.66x = 39,914,685,929.52
  5. Step 5: Solve for x
    x = 39,914,685,929.52/192,075.66
  6. Step 6: Final answer
    x = 207,807.10

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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.