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Finding the Fourth Proportional to 209,802.56, 289,530.84 and 114,309.24

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Solution

The fourth proportional to 209,802.56, 289,530.84 and 114,309.24 is: 157,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,802.56 : 289,530.84 = 114,309.24 : x
  2. Step 2: Convert to fraction form
    209,802.56/289,530.84 = 114,309.24/x
  3. Step 3: Cross multiply
    209,802.56x = 289,530.84 × 114,309.24
  4. Step 4: Simplify right side
    209,802.56x = 33,096,050,276.96
  5. Step 5: Solve for x
    x = 33,096,050,276.96/209,802.56
  6. Step 6: Final answer
    x = 157,748.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.