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Finding the Fourth Proportional to 99,777,322.80, 149,693,977.80 and 48,661,009.20

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Solution

The fourth proportional to 99,777,322.80, 149,693,977.80 and 48,661,009.20 is: 73,005,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,777,322.80 : 149,693,977.80 = 48,661,009.20 : x
  2. Step 2: Convert to fraction form
    99,777,322.80/149,693,977.80 = 48,661,009.20/x
  3. Step 3: Cross multiply
    99,777,322.80x = 149,693,977.80 × 48,661,009.20
  4. Step 4: Simplify right side
    99,777,322.80x = 7,284,260,030,910,397
  5. Step 5: Solve for x
    x = 7,284,260,030,910,397/99,777,322.80
  6. Step 6: Final answer
    x = 73,005,166.17

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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.