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Finding the Fourth Proportional to 201,830, 278,534.04 and 112,406

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Solution

The fourth proportional to 201,830, 278,534.04 and 112,406 is: 155,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,830 : 278,534.04 = 112,406 : x
  2. Step 2: Convert to fraction form
    201,830/278,534.04 = 112,406/x
  3. Step 3: Cross multiply
    201,830x = 278,534.04 × 112,406
  4. Step 4: Simplify right side
    201,830x = 31,308,897,300.24
  5. Step 5: Solve for x
    x = 31,308,897,300.24/201,830
  6. Step 6: Final answer
    x = 155,125.09

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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.