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Finding the Fourth Proportional to 99,792.30, 149,752.70 and 39,810.54

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Solution

The fourth proportional to 99,792.30, 149,752.70 and 39,810.54 is: 59,741.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,792.30 : 149,752.70 = 39,810.54 : x
  2. Step 2: Convert to fraction form
    99,792.30/149,752.70 = 39,810.54/x
  3. Step 3: Cross multiply
    99,792.30x = 149,752.70 × 39,810.54
  4. Step 4: Simplify right side
    99,792.30x = 5,961,735,522.91
  5. Step 5: Solve for x
    x = 5,961,735,522.91/99,792.30
  6. Step 6: Final answer
    x = 59,741.44

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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.