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Finding the Fourth Proportional to 206,904.10, 310,064.55 and 127,783.30

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Solution

The fourth proportional to 206,904.10, 310,064.55 and 127,783.30 is: 191,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,904.10 : 310,064.55 = 127,783.30 : x
  2. Step 2: Convert to fraction form
    206,904.10/310,064.55 = 127,783.30/x
  3. Step 3: Cross multiply
    206,904.10x = 310,064.55 × 127,783.30
  4. Step 4: Simplify right side
    206,904.10x = 39,621,071,412.02
  5. Step 5: Solve for x
    x = 39,621,071,412.02/206,904.10
  6. Step 6: Final answer
    x = 191,494.86

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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.