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Finding the Fourth Proportional to 217,148.98, 299,697.24 and 121,662.13

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Solution

The fourth proportional to 217,148.98, 299,697.24 and 121,662.13 is: 167,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,148.98 : 299,697.24 = 121,662.13 : x
  2. Step 2: Convert to fraction form
    217,148.98/299,697.24 = 121,662.13/x
  3. Step 3: Cross multiply
    217,148.98x = 299,697.24 × 121,662.13
  4. Step 4: Simplify right side
    217,148.98x = 36,461,804,573.52
  5. Step 5: Solve for x
    x = 36,461,804,573.52/217,148.98
  6. Step 6: Final answer
    x = 167,911.47

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1.5x scale

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.