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Finding the Fourth Proportional to 76,290.76, 105,293.46 and 44,478.28

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Solution

The fourth proportional to 76,290.76, 105,293.46 and 44,478.28 is: 61,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,290.76 : 105,293.46 = 44,478.28 : x
  2. Step 2: Convert to fraction form
    76,290.76/105,293.46 = 44,478.28/x
  3. Step 3: Cross multiply
    76,290.76x = 105,293.46 × 44,478.28
  4. Step 4: Simplify right side
    76,290.76x = 4,683,271,996.05
  5. Step 5: Solve for x
    x = 4,683,271,996.05/76,290.76
  6. Step 6: Final answer
    x = 61,387.15

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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.