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Finding the Fourth Proportional to 38,419,549.80, 53,018,978.76 and 20,778,452.28

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Solution

The fourth proportional to 38,419,549.80, 53,018,978.76 and 20,778,452.28 is: 28,674,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419,549.80 : 53,018,978.76 = 20,778,452.28 : x
  2. Step 2: Convert to fraction form
    38,419,549.80/53,018,978.76 = 20,778,452.28/x
  3. Step 3: Cross multiply
    38,419,549.80x = 53,018,978.76 × 20,778,452.28
  4. Step 4: Simplify right side
    38,419,549.80x = 1,101,652,320,098,993.62
  5. Step 5: Solve for x
    x = 1,101,652,320,098,993.62/38,419,549.80
  6. Step 6: Final answer
    x = 28,674,264.17

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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.