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Finding the Fourth Proportional to 172,136.46, 258,099 and 59,768.40

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Solution

The fourth proportional to 172,136.46, 258,099 and 59,768.40 is: 89,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,136.46 : 258,099 = 59,768.40 : x
  2. Step 2: Convert to fraction form
    172,136.46/258,099 = 59,768.40/x
  3. Step 3: Cross multiply
    172,136.46x = 258,099 × 59,768.40
  4. Step 4: Simplify right side
    172,136.46x = 15,426,164,271.60
  5. Step 5: Solve for x
    x = 15,426,164,271.60/172,136.46
  6. Step 6: Final answer
    x = 89,615.90

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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.