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Finding the Fourth Proportional to 209,502.55, 289,112.98 and 114,009.22

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Solution

The fourth proportional to 209,502.55, 289,112.98 and 114,009.22 is: 157,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,502.55 : 289,112.98 = 114,009.22 : x
  2. Step 2: Convert to fraction form
    209,502.55/289,112.98 = 114,009.22/x
  3. Step 3: Cross multiply
    209,502.55x = 289,112.98 × 114,009.22
  4. Step 4: Simplify right side
    209,502.55x = 32,961,545,341.68
  5. Step 5: Solve for x
    x = 32,961,545,341.68/209,502.55
  6. Step 6: Final answer
    x = 157,332.43

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1.5x scale

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.