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Finding the Fourth Proportional to 206,893.60, 310,048.80 and 127,772.80

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Solution

The fourth proportional to 206,893.60, 310,048.80 and 127,772.80 is: 191,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,893.60 : 310,048.80 = 127,772.80 : x
  2. Step 2: Convert to fraction form
    206,893.60/310,048.80 = 127,772.80/x
  3. Step 3: Cross multiply
    206,893.60x = 310,048.80 × 127,772.80
  4. Step 4: Simplify right side
    206,893.60x = 39,615,803,312.64
  5. Step 5: Solve for x
    x = 39,615,803,312.64/206,893.60
  6. Step 6: Final answer
    x = 191,479.11

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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.