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Finding the Fourth Proportional to 53,119.90, 73,317.91 and 30,458.48

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Solution

The fourth proportional to 53,119.90, 73,317.91 and 30,458.48 is: 42,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,119.90 : 73,317.91 = 30,458.48 : x
  2. Step 2: Convert to fraction form
    53,119.90/73,317.91 = 30,458.48/x
  3. Step 3: Cross multiply
    53,119.90x = 73,317.91 × 30,458.48
  4. Step 4: Simplify right side
    53,119.90x = 2,233,152,095.38
  5. Step 5: Solve for x
    x = 2,233,152,095.38/53,119.90
  6. Step 6: Final answer
    x = 42,039.84

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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.