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Finding the Fourth Proportional to 53,058, 73,220.04 and 30,702

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Solution

The fourth proportional to 53,058, 73,220.04 and 30,702 is: 42,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,058 : 73,220.04 = 30,702 : x
  2. Step 2: Convert to fraction form
    53,058/73,220.04 = 30,702/x
  3. Step 3: Cross multiply
    53,058x = 73,220.04 × 30,702
  4. Step 4: Simplify right side
    53,058x = 2,248,001,668.08
  5. Step 5: Solve for x
    x = 2,248,001,668.08/53,058
  6. Step 6: Final answer
    x = 42,368.76

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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.