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Finding the Fourth Proportional to 173,102.16, 259,655.40 and 66,493.20

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Solution

The fourth proportional to 173,102.16, 259,655.40 and 66,493.20 is: 99,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,102.16 : 259,655.40 = 66,493.20 : x
  2. Step 2: Convert to fraction form
    173,102.16/259,655.40 = 66,493.20/x
  3. Step 3: Cross multiply
    173,102.16x = 259,655.40 × 66,493.20
  4. Step 4: Simplify right side
    173,102.16x = 17,265,318,443.28
  5. Step 5: Solve for x
    x = 17,265,318,443.28/173,102.16
  6. Step 6: Final answer
    x = 99,740.63

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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.