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Finding the Fourth Proportional to 201,779.48, 302,564.14 and 75,315.74

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Solution

The fourth proportional to 201,779.48, 302,564.14 and 75,315.74 is: 112,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,779.48 : 302,564.14 = 75,315.74 : x
  2. Step 2: Convert to fraction form
    201,779.48/302,564.14 = 75,315.74/x
  3. Step 3: Cross multiply
    201,779.48x = 302,564.14 × 75,315.74
  4. Step 4: Simplify right side
    201,779.48x = 22,787,840,400.45
  5. Step 5: Solve for x
    x = 22,787,840,400.45/201,779.48
  6. Step 6: Final answer
    x = 112,934.38

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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.