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Finding the Fourth Proportional to 76,797.84, 105,971.58 and 42,798

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Solution

The fourth proportional to 76,797.84, 105,971.58 and 42,798 is: 59,055.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,797.84 : 105,971.58 = 42,798 : x
  2. Step 2: Convert to fraction form
    76,797.84/105,971.58 = 42,798/x
  3. Step 3: Cross multiply
    76,797.84x = 105,971.58 × 42,798
  4. Step 4: Simplify right side
    76,797.84x = 4,535,371,680.84
  5. Step 5: Solve for x
    x = 4,535,371,680.84/76,797.84
  6. Step 6: Final answer
    x = 59,055.98

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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.