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Finding the Fourth Proportional to 99,463,200.30, 149,214,978.45 and 31,290,036.30

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Solution

The fourth proportional to 99,463,200.30, 149,214,978.45 and 31,290,036.30 is: 46,941,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,463,200.30 : 149,214,978.45 = 31,290,036.30 : x
  2. Step 2: Convert to fraction form
    99,463,200.30/149,214,978.45 = 31,290,036.30/x
  3. Step 3: Cross multiply
    99,463,200.30x = 149,214,978.45 × 31,290,036.30
  4. Step 4: Simplify right side
    99,463,200.30x = 4,668,942,092,204,217
  5. Step 5: Solve for x
    x = 4,668,942,092,204,217/99,463,200.30
  6. Step 6: Final answer
    x = 46,941,402.23

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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.