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Finding the Fourth Proportional to 145,471.23, 200,636.31 and 99,558.03

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Solution

The fourth proportional to 145,471.23, 200,636.31 and 99,558.03 is: 137,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,471.23 : 200,636.31 = 99,558.03 : x
  2. Step 2: Convert to fraction form
    145,471.23/200,636.31 = 99,558.03/x
  3. Step 3: Cross multiply
    145,471.23x = 200,636.31 × 99,558.03
  4. Step 4: Simplify right side
    145,471.23x = 19,974,955,770.07
  5. Step 5: Solve for x
    x = 19,974,955,770.07/145,471.23
  6. Step 6: Final answer
    x = 137,312.07

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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.