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Finding the Fourth Proportional to 76,886.75, 106,103.76 and 42,895.24

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Solution

The fourth proportional to 76,886.75, 106,103.76 and 42,895.24 is: 59,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,886.75 : 106,103.76 = 42,895.24 : x
  2. Step 2: Convert to fraction form
    76,886.75/106,103.76 = 42,895.24/x
  3. Step 3: Cross multiply
    76,886.75x = 106,103.76 × 42,895.24
  4. Step 4: Simplify right side
    76,886.75x = 4,551,346,250.10
  5. Step 5: Solve for x
    x = 4,551,346,250.10/76,886.75
  6. Step 6: Final answer
    x = 59,195.46

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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.