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Finding the Fourth Proportional to 209,731.19, 314,637.90 and 83,347.88

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Solution

The fourth proportional to 209,731.19, 314,637.90 and 83,347.88 is: 125,038.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,731.19 : 314,637.90 = 83,347.88 : x
  2. Step 2: Convert to fraction form
    209,731.19/314,637.90 = 83,347.88/x
  3. Step 3: Cross multiply
    209,731.19x = 314,637.90 × 83,347.88
  4. Step 4: Simplify right side
    209,731.19x = 26,224,401,932.65
  5. Step 5: Solve for x
    x = 26,224,401,932.65/209,731.19
  6. Step 6: Final answer
    x = 125,038.16

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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.