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Finding the Fourth Proportional to 76,203.84, 105,158.92 and 42,210.96

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Solution

The fourth proportional to 76,203.84, 105,158.92 and 42,210.96 is: 58,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203.84 : 105,158.92 = 42,210.96 : x
  2. Step 2: Convert to fraction form
    76,203.84/105,158.92 = 42,210.96/x
  3. Step 3: Cross multiply
    76,203.84x = 105,158.92 × 42,210.96
  4. Step 4: Simplify right side
    76,203.84x = 4,438,858,965.76
  5. Step 5: Solve for x
    x = 4,438,858,965.76/76,203.84
  6. Step 6: Final answer
    x = 58,249.81

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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.