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Finding the Fourth Proportional to 218,830.75, 301,986.48 and 118,228.75

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Solution

The fourth proportional to 218,830.75, 301,986.48 and 118,228.75 is: 163,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,830.75 : 301,986.48 = 118,228.75 : x
  2. Step 2: Convert to fraction form
    218,830.75/301,986.48 = 118,228.75/x
  3. Step 3: Cross multiply
    218,830.75x = 301,986.48 × 118,228.75
  4. Step 4: Simplify right side
    218,830.75x = 35,703,484,047.30
  5. Step 5: Solve for x
    x = 35,703,484,047.30/218,830.75
  6. Step 6: Final answer
    x = 163,155.70

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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.