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Finding the Fourth Proportional to 99,846,460.80, 149,784,206.40 and 42,338,620.80

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Solution

The fourth proportional to 99,846,460.80, 149,784,206.40 and 42,338,620.80 is: 63,514,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,846,460.80 : 149,784,206.40 = 42,338,620.80 : x
  2. Step 2: Convert to fraction form
    99,846,460.80/149,784,206.40 = 42,338,620.80/x
  3. Step 3: Cross multiply
    99,846,460.80x = 149,784,206.40 × 42,338,620.80
  4. Step 4: Simplify right side
    99,846,460.80x = 6,341,656,716,598,533
  5. Step 5: Solve for x
    x = 6,341,656,716,598,533/99,846,460.80
  6. Step 6: Final answer
    x = 63,514,086.19

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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.