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Finding the Fourth Proportional to 201,562.07, 302,316.98 and 83,217.42

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Solution

The fourth proportional to 201,562.07, 302,316.98 and 83,217.42 is: 124,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,562.07 : 302,316.98 = 83,217.42 : x
  2. Step 2: Convert to fraction form
    201,562.07/302,316.98 = 83,217.42/x
  3. Step 3: Cross multiply
    201,562.07x = 302,316.98 × 83,217.42
  4. Step 4: Simplify right side
    201,562.07x = 25,158,038,681.70
  5. Step 5: Solve for x
    x = 25,158,038,681.70/201,562.07
  6. Step 6: Final answer
    x = 124,815.34

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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.