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Finding the Fourth Proportional to 218,719, 301,832.22 and 118,117

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Solution

The fourth proportional to 218,719, 301,832.22 and 118,117 is: 163,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,719 : 301,832.22 = 118,117 : x
  2. Step 2: Convert to fraction form
    218,719/301,832.22 = 118,117/x
  3. Step 3: Cross multiply
    218,719x = 301,832.22 × 118,117
  4. Step 4: Simplify right side
    218,719x = 35,651,516,329.74
  5. Step 5: Solve for x
    x = 35,651,516,329.74/218,719
  6. Step 6: Final answer
    x = 163,001.46

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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.