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Finding the Fourth Proportional to 111,328.16, 166,929.78 and 48,108.80

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Solution

The fourth proportional to 111,328.16, 166,929.78 and 48,108.80 is: 72,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,328.16 : 166,929.78 = 48,108.80 : x
  2. Step 2: Convert to fraction form
    111,328.16/166,929.78 = 48,108.80/x
  3. Step 3: Cross multiply
    111,328.16x = 166,929.78 × 48,108.80
  4. Step 4: Simplify right side
    111,328.16x = 8,030,791,400.06
  5. Step 5: Solve for x
    x = 8,030,791,400.06/111,328.16
  6. Step 6: Final answer
    x = 72,136.21

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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.