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Finding the Fourth Proportional to 216,654, 298,980 and 121,159.80

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Solution

The fourth proportional to 216,654, 298,980 and 121,159.80 is: 167,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,654 : 298,980 = 121,159.80 : x
  2. Step 2: Convert to fraction form
    216,654/298,980 = 121,159.80/x
  3. Step 3: Cross multiply
    216,654x = 298,980 × 121,159.80
  4. Step 4: Simplify right side
    216,654x = 36,224,357,004
  5. Step 5: Solve for x
    x = 36,224,357,004/216,654
  6. Step 6: Final answer
    x = 167,199.11

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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.