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Finding the Fourth Proportional to 19,683,542.80, 29,529,979.80 and 10,100,400.40

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Solution

The fourth proportional to 19,683,542.80, 29,529,979.80 and 10,100,400.40 is: 15,152,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683,542.80 : 29,529,979.80 = 10,100,400.40 : x
  2. Step 2: Convert to fraction form
    19,683,542.80/29,529,979.80 = 10,100,400.40/x
  3. Step 3: Cross multiply
    19,683,542.80x = 29,529,979.80 × 10,100,400.40
  4. Step 4: Simplify right side
    19,683,542.80x = 298,264,619,783,911.94
  5. Step 5: Solve for x
    x = 298,264,619,783,911.94/19,683,542.80
  6. Step 6: Final answer
    x = 15,152,994.70

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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.