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Finding the Fourth Proportional to 66,816,523.20, 100,224,784.80 and 49,810,411.20

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Solution

The fourth proportional to 66,816,523.20, 100,224,784.80 and 49,810,411.20 is: 74,715,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,816,523.20 : 100,224,784.80 = 49,810,411.20 : x
  2. Step 2: Convert to fraction form
    66,816,523.20/100,224,784.80 = 49,810,411.20/x
  3. Step 3: Cross multiply
    66,816,523.20x = 100,224,784.80 × 49,810,411.20
  4. Step 4: Simplify right side
    66,816,523.20x = 4,992,237,743,319,510
  5. Step 5: Solve for x
    x = 4,992,237,743,319,510/66,816,523.20
  6. Step 6: Final answer
    x = 74,715,616.80

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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.