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Finding the Fourth Proportional to 105,264.44, 145,264.97 and 56,866.39

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Solution

The fourth proportional to 105,264.44, 145,264.97 and 56,866.39 is: 78,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,264.44 : 145,264.97 = 56,866.39 : x
  2. Step 2: Convert to fraction form
    105,264.44/145,264.97 = 56,866.39/x
  3. Step 3: Cross multiply
    105,264.44x = 145,264.97 × 56,866.39
  4. Step 4: Simplify right side
    105,264.44x = 8,260,694,437.36
  5. Step 5: Solve for x
    x = 8,260,694,437.36/105,264.44
  6. Step 6: Final answer
    x = 78,475.64

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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.