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Finding the Fourth Proportional to 76,102.66, 105,018.96 and 42,110.56

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Solution

The fourth proportional to 76,102.66, 105,018.96 and 42,110.56 is: 58,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102.66 : 105,018.96 = 42,110.56 : x
  2. Step 2: Convert to fraction form
    76,102.66/105,018.96 = 42,110.56/x
  3. Step 3: Cross multiply
    76,102.66x = 105,018.96 × 42,110.56
  4. Step 4: Simplify right side
    76,102.66x = 4,422,407,216.22
  5. Step 5: Solve for x
    x = 4,422,407,216.22/76,102.66
  6. Step 6: Final answer
    x = 58,111.07

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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.