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Finding the Fourth Proportional to 99,794,547.70, 149,691,821.55 and 48,709,338.10

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Solution

The fourth proportional to 99,794,547.70, 149,691,821.55 and 48,709,338.10 is: 73,064,007.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,794,547.70 : 149,691,821.55 = 48,709,338.10 : x
  2. Step 2: Convert to fraction form
    99,794,547.70/149,691,821.55 = 48,709,338.10/x
  3. Step 3: Cross multiply
    99,794,547.70x = 149,691,821.55 × 48,709,338.10
  4. Step 4: Simplify right side
    99,794,547.70x = 7,291,389,546,683,817
  5. Step 5: Solve for x
    x = 7,291,389,546,683,817/99,794,547.70
  6. Step 6: Final answer
    x = 73,064,007.15

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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.