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Finding the Fourth Proportional to 53,415, 73,709.80 and 29,540.28

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Solution

The fourth proportional to 53,415, 73,709.80 and 29,540.28 is: 40,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,415 : 73,709.80 = 29,540.28 : x
  2. Step 2: Convert to fraction form
    53,415/73,709.80 = 29,540.28/x
  3. Step 3: Cross multiply
    53,415x = 73,709.80 × 29,540.28
  4. Step 4: Simplify right side
    53,415x = 2,177,408,130.74
  5. Step 5: Solve for x
    x = 2,177,408,130.74/53,415
  6. Step 6: Final answer
    x = 40,763.98

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1.5x scale

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.