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Finding the Fourth Proportional to 99,842,896.90, 149,693,486.55 and 38,408,317.30

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Solution

The fourth proportional to 99,842,896.90, 149,693,486.55 and 38,408,317.30 is: 57,585,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,842,896.90 : 149,693,486.55 = 38,408,317.30 : x
  2. Step 2: Convert to fraction form
    99,842,896.90/149,693,486.55 = 38,408,317.30/x
  3. Step 3: Cross multiply
    99,842,896.90x = 149,693,486.55 × 38,408,317.30
  4. Step 4: Simplify right side
    99,842,896.90x = 5,749,474,929,155,682
  5. Step 5: Solve for x
    x = 5,749,474,929,155,682/99,842,896.90
  6. Step 6: Final answer
    x = 57,585,217.45

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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.