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Finding the Fourth Proportional to 145,491.36, 218,052 and 65,443.75

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Solution

The fourth proportional to 145,491.36, 218,052 and 65,443.75 is: 98,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,491.36 : 218,052 = 65,443.75 : x
  2. Step 2: Convert to fraction form
    145,491.36/218,052 = 65,443.75/x
  3. Step 3: Cross multiply
    145,491.36x = 218,052 × 65,443.75
  4. Step 4: Simplify right side
    145,491.36x = 14,270,140,029.87
  5. Step 5: Solve for x
    x = 14,270,140,029.87/145,491.36
  6. Step 6: Final answer
    x = 98,082.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.