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Finding the Fourth Proportional to 201,802.52, 278,489.40 and 111,158.88

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Solution

The fourth proportional to 201,802.52, 278,489.40 and 111,158.88 is: 153,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,802.52 : 278,489.40 = 111,158.88 : x
  2. Step 2: Convert to fraction form
    201,802.52/278,489.40 = 111,158.88/x
  3. Step 3: Cross multiply
    201,802.52x = 278,489.40 × 111,158.88
  4. Step 4: Simplify right side
    201,802.52x = 30,956,569,795.87
  5. Step 5: Solve for x
    x = 30,956,569,795.87/201,802.52
  6. Step 6: Final answer
    x = 153,400.31

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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.