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Finding the Fourth Proportional to 76,232.61, 105,143.13 and 66,784.77

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Solution

The fourth proportional to 76,232.61, 105,143.13 and 66,784.77 is: 92,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,232.61 : 105,143.13 = 66,784.77 : x
  2. Step 2: Convert to fraction form
    76,232.61/105,143.13 = 66,784.77/x
  3. Step 3: Cross multiply
    76,232.61x = 105,143.13 × 66,784.77
  4. Step 4: Simplify right side
    76,232.61x = 7,021,959,754.13
  5. Step 5: Solve for x
    x = 7,021,959,754.13/76,232.61
  6. Step 6: Final answer
    x = 92,112.28

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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.