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Finding the Fourth Proportional to 209,315.80, 313,973.70 and 84,656.80

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Solution

The fourth proportional to 209,315.80, 313,973.70 and 84,656.80 is: 126,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,315.80 : 313,973.70 = 84,656.80 : x
  2. Step 2: Convert to fraction form
    209,315.80/313,973.70 = 84,656.80/x
  3. Step 3: Cross multiply
    209,315.80x = 313,973.70 × 84,656.80
  4. Step 4: Simplify right side
    209,315.80x = 26,580,008,726.16
  5. Step 5: Solve for x
    x = 26,580,008,726.16/209,315.80
  6. Step 6: Final answer
    x = 126,985.20

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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.