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Finding the Fourth Proportional to 172,865, 259,341.26 and 48,206

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Solution

The fourth proportional to 172,865, 259,341.26 and 48,206 is: 72,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,865 : 259,341.26 = 48,206 : x
  2. Step 2: Convert to fraction form
    172,865/259,341.26 = 48,206/x
  3. Step 3: Cross multiply
    172,865x = 259,341.26 × 48,206
  4. Step 4: Simplify right side
    172,865x = 12,501,804,779.56
  5. Step 5: Solve for x
    x = 12,501,804,779.56/172,865
  6. Step 6: Final answer
    x = 72,321.20

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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.