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Finding the Fourth Proportional to 201,220.12, 301,829.10 and 51,460.17

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Solution

The fourth proportional to 201,220.12, 301,829.10 and 51,460.17 is: 77,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,220.12 : 301,829.10 = 51,460.17 : x
  2. Step 2: Convert to fraction form
    201,220.12/301,829.10 = 51,460.17/x
  3. Step 3: Cross multiply
    201,220.12x = 301,829.10 × 51,460.17
  4. Step 4: Simplify right side
    201,220.12x = 15,532,176,796.95
  5. Step 5: Solve for x
    x = 15,532,176,796.95/201,220.12
  6. Step 6: Final answer
    x = 77,189.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.