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Finding the Fourth Proportional to 172,008.64, 258,112.64 and 72,160

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Solution

The fourth proportional to 172,008.64, 258,112.64 and 72,160 is: 108,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,008.64 : 258,112.64 = 72,160 : x
  2. Step 2: Convert to fraction form
    172,008.64/258,112.64 = 72,160/x
  3. Step 3: Cross multiply
    172,008.64x = 258,112.64 × 72,160
  4. Step 4: Simplify right side
    172,008.64x = 18,625,408,102.40
  5. Step 5: Solve for x
    x = 18,625,408,102.40/172,008.64
  6. Step 6: Final answer
    x = 108,281.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.