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Finding the Fourth Proportional to 77,410.69, 106,821.59 and 43,418.84

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Solution

The fourth proportional to 77,410.69, 106,821.59 and 43,418.84 is: 59,915.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,410.69 : 106,821.59 = 43,418.84 : x
  2. Step 2: Convert to fraction form
    77,410.69/106,821.59 = 43,418.84/x
  3. Step 3: Cross multiply
    77,410.69x = 106,821.59 × 43,418.84
  4. Step 4: Simplify right side
    77,410.69x = 4,638,068,773.55
  5. Step 5: Solve for x
    x = 4,638,068,773.55/77,410.69
  6. Step 6: Final answer
    x = 59,915.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.