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Finding the Fourth Proportional to 275,871, 380,702.34 and 156,639

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Solution

The fourth proportional to 275,871, 380,702.34 and 156,639 is: 216,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,871 : 380,702.34 = 156,639 : x
  2. Step 2: Convert to fraction form
    275,871/380,702.34 = 156,639/x
  3. Step 3: Cross multiply
    275,871x = 380,702.34 × 156,639
  4. Step 4: Simplify right side
    275,871x = 59,632,833,835.26
  5. Step 5: Solve for x
    x = 59,632,833,835.26/275,871
  6. Step 6: Final answer
    x = 216,162.02

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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.