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Finding the Fourth Proportional to 145,663.42, 201,034.68 and 82,013.62

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Solution

The fourth proportional to 145,663.42, 201,034.68 and 82,013.62 is: 113,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,663.42 : 201,034.68 = 82,013.62 : x
  2. Step 2: Convert to fraction form
    145,663.42/201,034.68 = 82,013.62/x
  3. Step 3: Cross multiply
    145,663.42x = 201,034.68 × 82,013.62
  4. Step 4: Simplify right side
    145,663.42x = 16,487,581,852.34
  5. Step 5: Solve for x
    x = 16,487,581,852.34/145,663.42
  6. Step 6: Final answer
    x = 113,189.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.