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Finding the Fourth Proportional to 76,858.55, 106,065.39 and 42,869.19

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Solution

The fourth proportional to 76,858.55, 106,065.39 and 42,869.19 is: 59,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,858.55 : 106,065.39 = 42,869.19 : x
  2. Step 2: Convert to fraction form
    76,858.55/106,065.39 = 42,869.19/x
  3. Step 3: Cross multiply
    76,858.55x = 106,065.39 × 42,869.19
  4. Step 4: Simplify right side
    76,858.55x = 4,546,937,356.33
  5. Step 5: Solve for x
    x = 4,546,937,356.33/76,858.55
  6. Step 6: Final answer
    x = 59,159.82

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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.