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Finding the Fourth Proportional to 206,509.36, 284,985.48 and 115,884.76

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Solution

The fourth proportional to 206,509.36, 284,985.48 and 115,884.76 is: 159,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,509.36 : 284,985.48 = 115,884.76 : x
  2. Step 2: Convert to fraction form
    206,509.36/284,985.48 = 115,884.76/x
  3. Step 3: Cross multiply
    206,509.36x = 284,985.48 × 115,884.76
  4. Step 4: Simplify right side
    206,509.36x = 33,025,473,953.28
  5. Step 5: Solve for x
    x = 33,025,473,953.28/206,509.36
  6. Step 6: Final answer
    x = 159,922.41

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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.