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Finding the Fourth Proportional to 99,794,975.20, 149,692,462.80 and 48,709,765.60

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Solution

The fourth proportional to 99,794,975.20, 149,692,462.80 and 48,709,765.60 is: 73,064,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,794,975.20 : 149,692,462.80 = 48,709,765.60 : x
  2. Step 2: Convert to fraction form
    99,794,975.20/149,692,462.80 = 48,709,765.60/x
  3. Step 3: Cross multiply
    99,794,975.20x = 149,692,462.80 × 48,709,765.60
  4. Step 4: Simplify right side
    99,794,975.20x = 7,291,484,775,074,720
  5. Step 5: Solve for x
    x = 7,291,484,775,074,720/99,794,975.20
  6. Step 6: Final answer
    x = 73,064,648.40

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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.