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Finding the Fourth Proportional to 145,821, 201,232.98 and 78,753

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Solution

The fourth proportional to 145,821, 201,232.98 and 78,753 is: 108,679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,821 : 201,232.98 = 78,753 : x
  2. Step 2: Convert to fraction form
    145,821/201,232.98 = 78,753/x
  3. Step 3: Cross multiply
    145,821x = 201,232.98 × 78,753
  4. Step 4: Simplify right side
    145,821x = 15,847,700,873.94
  5. Step 5: Solve for x
    x = 15,847,700,873.94/145,821
  6. Step 6: Final answer
    x = 108,679.14

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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.