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Finding the Fourth Proportional to 76,463.84, 105,483.47 and 53,815.40

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Solution

The fourth proportional to 76,463.84, 105,483.47 and 53,815.40 is: 74,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,463.84 : 105,483.47 = 53,815.40 : x
  2. Step 2: Convert to fraction form
    76,463.84/105,483.47 = 53,815.40/x
  3. Step 3: Cross multiply
    76,463.84x = 105,483.47 × 53,815.40
  4. Step 4: Simplify right side
    76,463.84x = 5,676,635,131.44
  5. Step 5: Solve for x
    x = 5,676,635,131.44/76,463.84
  6. Step 6: Final answer
    x = 74,239.47

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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.