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Finding the Fourth Proportional to 76,384.92, 105,417.54 and 42,396.60

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Solution

The fourth proportional to 76,384.92, 105,417.54 and 42,396.60 is: 58,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,384.92 : 105,417.54 = 42,396.60 : x
  2. Step 2: Convert to fraction form
    76,384.92/105,417.54 = 42,396.60/x
  3. Step 3: Cross multiply
    76,384.92x = 105,417.54 × 42,396.60
  4. Step 4: Simplify right side
    76,384.92x = 4,469,345,276.36
  5. Step 5: Solve for x
    x = 4,469,345,276.36/76,384.92
  6. Step 6: Final answer
    x = 58,510.83

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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.