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Finding the Fourth Proportional to 145,663.74, 201,019.68 and 82,003.77

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Solution

The fourth proportional to 145,663.74, 201,019.68 and 82,003.77 is: 113,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,663.74 : 201,019.68 = 82,003.77 : x
  2. Step 2: Convert to fraction form
    145,663.74/201,019.68 = 82,003.77/x
  3. Step 3: Cross multiply
    145,663.74x = 201,019.68 × 82,003.77
  4. Step 4: Simplify right side
    145,663.74x = 16,484,371,604.19
  5. Step 5: Solve for x
    x = 16,484,371,604.19/145,663.74
  6. Step 6: Final answer
    x = 113,167.30

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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.