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Finding the Fourth Proportional to 53,237.76, 73,465.62 and 30,561

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Solution

The fourth proportional to 53,237.76, 73,465.62 and 30,561 is: 42,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,237.76 : 73,465.62 = 30,561 : x
  2. Step 2: Convert to fraction form
    53,237.76/73,465.62 = 30,561/x
  3. Step 3: Cross multiply
    53,237.76x = 73,465.62 × 30,561
  4. Step 4: Simplify right side
    53,237.76x = 2,245,182,812.82
  5. Step 5: Solve for x
    x = 2,245,182,812.82/53,237.76
  6. Step 6: Final answer
    x = 42,172.75

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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.