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Finding the Fourth Proportional to 99,697.61, 149,486.16 and 39,735.32

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Solution

The fourth proportional to 99,697.61, 149,486.16 and 39,735.32 is: 59,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,697.61 : 149,486.16 = 39,735.32 : x
  2. Step 2: Convert to fraction form
    99,697.61/149,486.16 = 39,735.32/x
  3. Step 3: Cross multiply
    99,697.61x = 149,486.16 × 39,735.32
  4. Step 4: Simplify right side
    99,697.61x = 5,939,880,403.17
  5. Step 5: Solve for x
    x = 5,939,880,403.17/99,697.61
  6. Step 6: Final answer
    x = 59,578.96

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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.