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Finding the Fourth Proportional to 206,364, 284,782.32 and 121,533.24

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Solution

The fourth proportional to 206,364, 284,782.32 and 121,533.24 is: 167,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,364 : 284,782.32 = 121,533.24 : x
  2. Step 2: Convert to fraction form
    206,364/284,782.32 = 121,533.24/x
  3. Step 3: Cross multiply
    206,364x = 284,782.32 × 121,533.24
  4. Step 4: Simplify right side
    206,364x = 34,610,518,044.32
  5. Step 5: Solve for x
    x = 34,610,518,044.32/206,364
  6. Step 6: Final answer
    x = 167,715.87

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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.