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Finding the Fourth Proportional to 76,858.40, 106,062.48 and 42,867.92

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Solution

The fourth proportional to 76,858.40, 106,062.48 and 42,867.92 is: 59,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,858.40 : 106,062.48 = 42,867.92 : x
  2. Step 2: Convert to fraction form
    76,858.40/106,062.48 = 42,867.92/x
  3. Step 3: Cross multiply
    76,858.40x = 106,062.48 × 42,867.92
  4. Step 4: Simplify right side
    76,858.40x = 4,546,677,907.64
  5. Step 5: Solve for x
    x = 4,546,677,907.64/76,858.40
  6. Step 6: Final answer
    x = 59,156.55

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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.