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Finding the Fourth Proportional to 76,285.70, 105,285.16 and 42,301.74

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Solution

The fourth proportional to 76,285.70, 105,285.16 and 42,301.74 is: 58,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,285.70 : 105,285.16 = 42,301.74 : x
  2. Step 2: Convert to fraction form
    76,285.70/105,285.16 = 42,301.74/x
  3. Step 3: Cross multiply
    76,285.70x = 105,285.16 × 42,301.74
  4. Step 4: Simplify right side
    76,285.70x = 4,453,745,358.42
  5. Step 5: Solve for x
    x = 4,453,745,358.42/76,285.70
  6. Step 6: Final answer
    x = 58,382.44

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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.