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Finding the Fourth Proportional to 145,559.70, 200,964.65 and 99,696.29

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Solution

The fourth proportional to 145,559.70, 200,964.65 and 99,696.29 is: 137,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,559.70 : 200,964.65 = 99,696.29 : x
  2. Step 2: Convert to fraction form
    145,559.70/200,964.65 = 99,696.29/x
  3. Step 3: Cross multiply
    145,559.70x = 200,964.65 × 99,696.29
  4. Step 4: Simplify right side
    145,559.70x = 20,035,428,522.84
  5. Step 5: Solve for x
    x = 20,035,428,522.84/145,559.70
  6. Step 6: Final answer
    x = 137,644.06

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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.