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Finding the Fourth Proportional to 76,697.40, 105,839.76 and 43,156.92

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Solution

The fourth proportional to 76,697.40, 105,839.76 and 43,156.92 is: 59,555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,697.40 : 105,839.76 = 43,156.92 : x
  2. Step 2: Convert to fraction form
    76,697.40/105,839.76 = 43,156.92/x
  3. Step 3: Cross multiply
    76,697.40x = 105,839.76 × 43,156.92
  4. Step 4: Simplify right side
    76,697.40x = 4,567,718,055.14
  5. Step 5: Solve for x
    x = 4,567,718,055.14/76,697.40
  6. Step 6: Final answer
    x = 59,555.06

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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.