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Finding the Fourth Proportional to 171,415.98, 257,136.93 and 53,099.28

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Solution

The fourth proportional to 171,415.98, 257,136.93 and 53,099.28 is: 79,652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,415.98 : 257,136.93 = 53,099.28 : x
  2. Step 2: Convert to fraction form
    171,415.98/257,136.93 = 53,099.28/x
  3. Step 3: Cross multiply
    171,415.98x = 257,136.93 × 53,099.28
  4. Step 4: Simplify right side
    171,415.98x = 13,653,785,844.41
  5. Step 5: Solve for x
    x = 13,653,785,844.41/171,415.98
  6. Step 6: Final answer
    x = 79,652.93

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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.