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Finding the Fourth Proportional to 201,688.78, 302,635.23 and 83,444.98

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Solution

The fourth proportional to 201,688.78, 302,635.23 and 83,444.98 is: 125,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,688.78 : 302,635.23 = 83,444.98 : x
  2. Step 2: Convert to fraction form
    201,688.78/302,635.23 = 83,444.98/x
  3. Step 3: Cross multiply
    201,688.78x = 302,635.23 × 83,444.98
  4. Step 4: Simplify right side
    201,688.78x = 25,253,390,714.65
  5. Step 5: Solve for x
    x = 25,253,390,714.65/201,688.78
  6. Step 6: Final answer
    x = 125,209.70

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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.