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Finding the Fourth Proportional to 172,856.34, 259,284.51 and 54,539.64

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Solution

The fourth proportional to 172,856.34, 259,284.51 and 54,539.64 is: 81,809.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,856.34 : 259,284.51 = 54,539.64 : x
  2. Step 2: Convert to fraction form
    172,856.34/259,284.51 = 54,539.64/x
  3. Step 3: Cross multiply
    172,856.34x = 259,284.51 × 54,539.64
  4. Step 4: Simplify right side
    172,856.34x = 14,141,283,832.98
  5. Step 5: Solve for x
    x = 14,141,283,832.98/172,856.34
  6. Step 6: Final answer
    x = 81,809.46

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1.5x scale

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.