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Finding the Fourth Proportional to 201,638.52, 302,458.64 and 81,697.80

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Solution

The fourth proportional to 201,638.52, 302,458.64 and 81,697.80 is: 122,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638.52 : 302,458.64 = 81,697.80 : x
  2. Step 2: Convert to fraction form
    201,638.52/302,458.64 = 81,697.80/x
  3. Step 3: Cross multiply
    201,638.52x = 302,458.64 × 81,697.80
  4. Step 4: Simplify right side
    201,638.52x = 24,710,205,478.99
  5. Step 5: Solve for x
    x = 24,710,205,478.99/201,638.52
  6. Step 6: Final answer
    x = 122,547.05

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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.