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Finding the Fourth Proportional to 270,215.16, 372,899.64 and 147,711.06

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Solution

The fourth proportional to 270,215.16, 372,899.64 and 147,711.06 is: 203,842.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,215.16 : 372,899.64 = 147,711.06 : x
  2. Step 2: Convert to fraction form
    270,215.16/372,899.64 = 147,711.06/x
  3. Step 3: Cross multiply
    270,215.16x = 372,899.64 × 147,711.06
  4. Step 4: Simplify right side
    270,215.16x = 55,081,401,098.02
  5. Step 5: Solve for x
    x = 55,081,401,098.02/270,215.16
  6. Step 6: Final answer
    x = 203,842.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.