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Finding the Fourth Proportional to 76,688.82, 105,803.16 and 44,405.82

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Solution

The fourth proportional to 76,688.82, 105,803.16 and 44,405.82 is: 61,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,688.82 : 105,803.16 = 44,405.82 : x
  2. Step 2: Convert to fraction form
    76,688.82/105,803.16 = 44,405.82/x
  3. Step 3: Cross multiply
    76,688.82x = 105,803.16 × 44,405.82
  4. Step 4: Simplify right side
    76,688.82x = 4,698,276,078.39
  5. Step 5: Solve for x
    x = 4,698,276,078.39/76,688.82
  6. Step 6: Final answer
    x = 61,264.16

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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.