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Finding the Fourth Proportional to 172,026.38, 257,908.26 and 97,230.98

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Solution

The fourth proportional to 172,026.38, 257,908.26 and 97,230.98 is: 145,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,026.38 : 257,908.26 = 97,230.98 : x
  2. Step 2: Convert to fraction form
    172,026.38/257,908.26 = 97,230.98/x
  3. Step 3: Cross multiply
    172,026.38x = 257,908.26 × 97,230.98
  4. Step 4: Simplify right side
    172,026.38x = 25,076,672,869.89
  5. Step 5: Solve for x
    x = 25,076,672,869.89/172,026.38
  6. Step 6: Final answer
    x = 145,772.25

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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.