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Finding the Fourth Proportional to 261,351.40, 392,027.10 and 121,383.40

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Solution

The fourth proportional to 261,351.40, 392,027.10 and 121,383.40 is: 182,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,351.40 : 392,027.10 = 121,383.40 : x
  2. Step 2: Convert to fraction form
    261,351.40/392,027.10 = 121,383.40/x
  3. Step 3: Cross multiply
    261,351.40x = 392,027.10 × 121,383.40
  4. Step 4: Simplify right side
    261,351.40x = 47,585,582,290.14
  5. Step 5: Solve for x
    x = 47,585,582,290.14/261,351.40
  6. Step 6: Final answer
    x = 182,075.10

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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.