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Finding the Fourth Proportional to 53,858, 74,329.80 and 31,520.72

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Solution

The fourth proportional to 53,858, 74,329.80 and 31,520.72 is: 43,501.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,858 : 74,329.80 = 31,520.72 : x
  2. Step 2: Convert to fraction form
    53,858/74,329.80 = 31,520.72/x
  3. Step 3: Cross multiply
    53,858x = 74,329.80 × 31,520.72
  4. Step 4: Simplify right side
    53,858x = 2,342,928,813.46
  5. Step 5: Solve for x
    x = 2,342,928,813.46/53,858
  6. Step 6: Final answer
    x = 43,501.96

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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.