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Finding the Fourth Proportional to 55,470, 76,549.16 and 30,319.60

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Solution

The fourth proportional to 55,470, 76,549.16 and 30,319.60 is: 41,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,470 : 76,549.16 = 30,319.60 : x
  2. Step 2: Convert to fraction form
    55,470/76,549.16 = 30,319.60/x
  3. Step 3: Cross multiply
    55,470x = 76,549.16 × 30,319.60
  4. Step 4: Simplify right side
    55,470x = 2,320,939,911.54
  5. Step 5: Solve for x
    x = 2,320,939,911.54/55,470
  6. Step 6: Final answer
    x = 41,841.35

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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.