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Finding the Fourth Proportional to 55,653.92, 76,802.64 and 30,503.84

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Solution

The fourth proportional to 55,653.92, 76,802.64 and 30,503.84 is: 42,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,653.92 : 76,802.64 = 30,503.84 : x
  2. Step 2: Convert to fraction form
    55,653.92/76,802.64 = 30,503.84/x
  3. Step 3: Cross multiply
    55,653.92x = 76,802.64 × 30,503.84
  4. Step 4: Simplify right side
    55,653.92x = 2,342,775,442.14
  5. Step 5: Solve for x
    x = 2,342,775,442.14/55,653.92
  6. Step 6: Final answer
    x = 42,095.43

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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.