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Finding the Fourth Proportional to 76,133.01, 105,063.76 and 42,143.84

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Solution

The fourth proportional to 76,133.01, 105,063.76 and 42,143.84 is: 58,158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,133.01 : 105,063.76 = 42,143.84 : x
  2. Step 2: Convert to fraction form
    76,133.01/105,063.76 = 42,143.84/x
  3. Step 3: Cross multiply
    76,133.01x = 105,063.76 × 42,143.84
  4. Step 4: Simplify right side
    76,133.01x = 4,427,790,685.04
  5. Step 5: Solve for x
    x = 4,427,790,685.04/76,133.01
  6. Step 6: Final answer
    x = 58,158.62

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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.