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Finding the Fourth Proportional to 218,572.16, 301,634.70 and 121,782.53

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Solution

The fourth proportional to 218,572.16, 301,634.70 and 121,782.53 is: 168,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,572.16 : 301,634.70 = 121,782.53 : x
  2. Step 2: Convert to fraction form
    218,572.16/301,634.70 = 121,782.53/x
  3. Step 3: Cross multiply
    218,572.16x = 301,634.70 × 121,782.53
  4. Step 4: Simplify right side
    218,572.16x = 36,733,835,393.62
  5. Step 5: Solve for x
    x = 36,733,835,393.62/218,572.16
  6. Step 6: Final answer
    x = 168,062.74

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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.