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Finding the Fourth Proportional to 172,109.61, 258,163.20 and 101,938.50

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Solution

The fourth proportional to 172,109.61, 258,163.20 and 101,938.50 is: 152,907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,109.61 : 258,163.20 = 101,938.50 : x
  2. Step 2: Convert to fraction form
    172,109.61/258,163.20 = 101,938.50/x
  3. Step 3: Cross multiply
    172,109.61x = 258,163.20 × 101,938.50
  4. Step 4: Simplify right side
    172,109.61x = 26,316,769,363.20
  5. Step 5: Solve for x
    x = 26,316,769,363.20/172,109.61
  6. Step 6: Final answer
    x = 152,907.03

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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.