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Finding the Fourth Proportional to 82,776, 114,347.04 and 73,820.64

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Solution

The fourth proportional to 82,776, 114,347.04 and 73,820.64 is: 101,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,776 : 114,347.04 = 73,820.64 : x
  2. Step 2: Convert to fraction form
    82,776/114,347.04 = 73,820.64/x
  3. Step 3: Cross multiply
    82,776x = 114,347.04 × 73,820.64
  4. Step 4: Simplify right side
    82,776x = 8,441,171,674.91
  5. Step 5: Solve for x
    x = 8,441,171,674.91/82,776
  6. Step 6: Final answer
    x = 101,976.08

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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.