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Finding the Fourth Proportional to 76,729.84, 105,880.44 and 42,735.76

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Solution

The fourth proportional to 76,729.84, 105,880.44 and 42,735.76 is: 58,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,729.84 : 105,880.44 = 42,735.76 : x
  2. Step 2: Convert to fraction form
    76,729.84/105,880.44 = 42,735.76/x
  3. Step 3: Cross multiply
    76,729.84x = 105,880.44 × 42,735.76
  4. Step 4: Simplify right side
    76,729.84x = 4,524,881,072.53
  5. Step 5: Solve for x
    x = 4,524,881,072.53/76,729.84
  6. Step 6: Final answer
    x = 58,971.60

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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.