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Finding the Fourth Proportional to 76,800.54, 105,981.24 and 42,812.74

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Solution

The fourth proportional to 76,800.54, 105,981.24 and 42,812.74 is: 59,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800.54 : 105,981.24 = 42,812.74 : x
  2. Step 2: Convert to fraction form
    76,800.54/105,981.24 = 42,812.74/x
  3. Step 3: Cross multiply
    76,800.54x = 105,981.24 × 42,812.74
  4. Step 4: Simplify right side
    76,800.54x = 4,537,347,273.00
  5. Step 5: Solve for x
    x = 4,537,347,273.00/76,800.54
  6. Step 6: Final answer
    x = 59,079.63

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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.