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Finding the Fourth Proportional to 201,465.80, 278,017.24 and 109,582.04

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Solution

The fourth proportional to 201,465.80, 278,017.24 and 109,582.04 is: 151,220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,465.80 : 278,017.24 = 109,582.04 : x
  2. Step 2: Convert to fraction form
    201,465.80/278,017.24 = 109,582.04/x
  3. Step 3: Cross multiply
    201,465.80x = 278,017.24 × 109,582.04
  4. Step 4: Simplify right side
    201,465.80x = 30,465,696,314.37
  5. Step 5: Solve for x
    x = 30,465,696,314.37/201,465.80
  6. Step 6: Final answer
    x = 151,220.19

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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.