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Finding the Fourth Proportional to 205,967.80, 309,038.10 and 153,829.72

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Solution

The fourth proportional to 205,967.80, 309,038.10 and 153,829.72 is: 230,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,967.80 : 309,038.10 = 153,829.72 : x
  2. Step 2: Convert to fraction form
    205,967.80/309,038.10 = 153,829.72/x
  3. Step 3: Cross multiply
    205,967.80x = 309,038.10 × 153,829.72
  4. Step 4: Simplify right side
    205,967.80x = 47,539,244,392.33
  5. Step 5: Solve for x
    x = 47,539,244,392.33/205,967.80
  6. Step 6: Final answer
    x = 230,809.11

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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.