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Finding the Fourth Proportional to 172,970.16, 259,487.64 and 54,671.28

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Solution

The fourth proportional to 172,970.16, 259,487.64 and 54,671.28 is: 82,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,970.16 : 259,487.64 = 54,671.28 : x
  2. Step 2: Convert to fraction form
    172,970.16/259,487.64 = 54,671.28/x
  3. Step 3: Cross multiply
    172,970.16x = 259,487.64 × 54,671.28
  4. Step 4: Simplify right side
    172,970.16x = 14,186,521,422.98
  5. Step 5: Solve for x
    x = 14,186,521,422.98/172,970.16
  6. Step 6: Final answer
    x = 82,017.16

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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.