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Finding the Fourth Proportional to 105,136.40, 157,704.60 and 49,840.40

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Solution

The fourth proportional to 105,136.40, 157,704.60 and 49,840.40 is: 74,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,136.40 : 157,704.60 = 49,840.40 : x
  2. Step 2: Convert to fraction form
    105,136.40/157,704.60 = 49,840.40/x
  3. Step 3: Cross multiply
    105,136.40x = 157,704.60 × 49,840.40
  4. Step 4: Simplify right side
    105,136.40x = 7,860,060,345.84
  5. Step 5: Solve for x
    x = 7,860,060,345.84/105,136.40
  6. Step 6: Final answer
    x = 74,760.60

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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.