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Finding the Fourth Proportional to 99,850,001.80, 149,775,002.70 and 65,809,784.20

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Solution

The fourth proportional to 99,850,001.80, 149,775,002.70 and 65,809,784.20 is: 98,714,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,850,001.80 : 149,775,002.70 = 65,809,784.20 : x
  2. Step 2: Convert to fraction form
    99,850,001.80/149,775,002.70 = 65,809,784.20/x
  3. Step 3: Cross multiply
    99,850,001.80x = 149,775,002.70 × 65,809,784.20
  4. Step 4: Simplify right side
    99,850,001.80x = 9,856,660,606,241,418
  5. Step 5: Solve for x
    x = 9,856,660,606,241,418/99,850,001.80
  6. Step 6: Final answer
    x = 98,714,676.30

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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.