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Finding the Fourth Proportional to 145,885.93, 201,389.81 and 102,900.44

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Solution

The fourth proportional to 145,885.93, 201,389.81 and 102,900.44 is: 142,050.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,885.93 : 201,389.81 = 102,900.44 : x
  2. Step 2: Convert to fraction form
    145,885.93/201,389.81 = 102,900.44/x
  3. Step 3: Cross multiply
    145,885.93x = 201,389.81 × 102,900.44
  4. Step 4: Simplify right side
    145,885.93x = 20,723,100,049.49
  5. Step 5: Solve for x
    x = 20,723,100,049.49/145,885.93
  6. Step 6: Final answer
    x = 142,050.03

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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.