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Finding the Fourth Proportional to 145,672.61, 201,047.36 and 82,022.81

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Solution

The fourth proportional to 145,672.61, 201,047.36 and 82,022.81 is: 113,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,672.61 : 201,047.36 = 82,022.81 : x
  2. Step 2: Convert to fraction form
    145,672.61/201,047.36 = 82,022.81/x
  3. Step 3: Cross multiply
    145,672.61x = 201,047.36 × 82,022.81
  4. Step 4: Simplify right side
    145,672.61x = 16,490,467,994.93
  5. Step 5: Solve for x
    x = 16,490,467,994.93/145,672.61
  6. Step 6: Final answer
    x = 113,202.26

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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.