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Finding the Fourth Proportional to 201,159.80, 301,970.10 and 118,100.60

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Solution

The fourth proportional to 201,159.80, 301,970.10 and 118,100.60 is: 177,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,159.80 : 301,970.10 = 118,100.60 : x
  2. Step 2: Convert to fraction form
    201,159.80/301,970.10 = 118,100.60/x
  3. Step 3: Cross multiply
    201,159.80x = 301,970.10 × 118,100.60
  4. Step 4: Simplify right side
    201,159.80x = 35,662,849,992.06
  5. Step 5: Solve for x
    x = 35,662,849,992.06/201,159.80
  6. Step 6: Final answer
    x = 177,286.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.