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Finding the Fourth Proportional to 511,184.01, 766,776.20 and 137,207.01

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Solution

The fourth proportional to 511,184.01, 766,776.20 and 137,207.01 is: 205,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,184.01 : 766,776.20 = 137,207.01 : x
  2. Step 2: Convert to fraction form
    511,184.01/766,776.20 = 137,207.01/x
  3. Step 3: Cross multiply
    511,184.01x = 766,776.20 × 137,207.01
  4. Step 4: Simplify right side
    511,184.01x = 105,207,069,741.16
  5. Step 5: Solve for x
    x = 105,207,069,741.16/511,184.01
  6. Step 6: Final answer
    x = 205,810.56

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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.