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Finding the Fourth Proportional to 145,672.70, 201,032.08 and 82,012.77

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Solution

The fourth proportional to 145,672.70, 201,032.08 and 82,012.77 is: 113,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,672.70 : 201,032.08 = 82,012.77 : x
  2. Step 2: Convert to fraction form
    145,672.70/201,032.08 = 82,012.77/x
  3. Step 3: Cross multiply
    145,672.70x = 201,032.08 × 82,012.77
  4. Step 4: Simplify right side
    145,672.70x = 16,487,197,534.63
  5. Step 5: Solve for x
    x = 16,487,197,534.63/145,672.70
  6. Step 6: Final answer
    x = 113,179.74

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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.