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Finding the Fourth Proportional to 172,701.50, 259,089.30 and 97,857.50

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Solution

The fourth proportional to 172,701.50, 259,089.30 and 97,857.50 is: 146,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,701.50 : 259,089.30 = 97,857.50 : x
  2. Step 2: Convert to fraction form
    172,701.50/259,089.30 = 97,857.50/x
  3. Step 3: Cross multiply
    172,701.50x = 259,089.30 × 97,857.50
  4. Step 4: Simplify right side
    172,701.50x = 25,353,831,174.75
  5. Step 5: Solve for x
    x = 25,353,831,174.75/172,701.50
  6. Step 6: Final answer
    x = 146,807.24

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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.