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Finding the Fourth Proportional to 132,830.67, 183,305.13 and 72,401.31

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Solution

The fourth proportional to 132,830.67, 183,305.13 and 72,401.31 is: 99,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,830.67 : 183,305.13 = 72,401.31 : x
  2. Step 2: Convert to fraction form
    132,830.67/183,305.13 = 72,401.31/x
  3. Step 3: Cross multiply
    132,830.67x = 183,305.13 × 72,401.31
  4. Step 4: Simplify right side
    132,830.67x = 13,271,531,541.72
  5. Step 5: Solve for x
    x = 13,271,531,541.72/132,830.67
  6. Step 6: Final answer
    x = 99,913.16

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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.