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Finding the Fourth Proportional to 201,448.89, 278,094.53 and 127,898.26

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Solution

The fourth proportional to 201,448.89, 278,094.53 and 127,898.26 is: 176,559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,448.89 : 278,094.53 = 127,898.26 : x
  2. Step 2: Convert to fraction form
    201,448.89/278,094.53 = 127,898.26/x
  3. Step 3: Cross multiply
    201,448.89x = 278,094.53 × 127,898.26
  4. Step 4: Simplify right side
    201,448.89x = 35,567,806,127.03
  5. Step 5: Solve for x
    x = 35,567,806,127.03/201,448.89
  6. Step 6: Final answer
    x = 176,559.95

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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.