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Finding the Fourth Proportional to 40,738.60, 53,018.50 and 40,738.60

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Solution

The fourth proportional to 40,738.60, 53,018.50 and 40,738.60 is: 53,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,738.60 : 53,018.50 = 40,738.60 : x
  2. Step 2: Convert to fraction form
    40,738.60/53,018.50 = 40,738.60/x
  3. Step 3: Cross multiply
    40,738.60x = 53,018.50 × 40,738.60
  4. Step 4: Simplify right side
    40,738.60x = 2,159,899,464.10
  5. Step 5: Solve for x
    x = 2,159,899,464.10/40,738.60
  6. Step 6: Final answer
    x = 53,018.50

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.