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Finding the Fourth Proportional to 172,859, 259,332.24 and 48,200

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Solution

The fourth proportional to 172,859, 259,332.24 and 48,200 is: 72,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,859 : 259,332.24 = 48,200 : x
  2. Step 2: Convert to fraction form
    172,859/259,332.24 = 48,200/x
  3. Step 3: Cross multiply
    172,859x = 259,332.24 × 48,200
  4. Step 4: Simplify right side
    172,859x = 12,499,813,968
  5. Step 5: Solve for x
    x = 12,499,813,968/172,859
  6. Step 6: Final answer
    x = 72,312.20

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