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Finding the Fourth Proportional to 151,941.40, 209,678.94 and 84,873.40

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Solution

The fourth proportional to 151,941.40, 209,678.94 and 84,873.40 is: 117,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,941.40 : 209,678.94 = 84,873.40 : x
  2. Step 2: Convert to fraction form
    151,941.40/209,678.94 = 84,873.40/x
  3. Step 3: Cross multiply
    151,941.40x = 209,678.94 × 84,873.40
  4. Step 4: Simplify right side
    151,941.40x = 17,796,164,546.20
  5. Step 5: Solve for x
    x = 17,796,164,546.20/151,941.40
  6. Step 6: Final answer
    x = 117,125.18

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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.