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Finding the Fourth Proportional to 145,473.81, 200,880 and 107,299.52

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Solution

The fourth proportional to 145,473.81, 200,880 and 107,299.52 is: 148,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,473.81 : 200,880 = 107,299.52 : x
  2. Step 2: Convert to fraction form
    145,473.81/200,880 = 107,299.52/x
  3. Step 3: Cross multiply
    145,473.81x = 200,880 × 107,299.52
  4. Step 4: Simplify right side
    145,473.81x = 21,554,327,326.50
  5. Step 5: Solve for x
    x = 21,554,327,326.50/145,473.81
  6. Step 6: Final answer
    x = 148,166.38

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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.