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Finding the Fourth Proportional to 145,441.96, 200,544.43 and 102,407.70

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Solution

The fourth proportional to 145,441.96, 200,544.43 and 102,407.70 is: 141,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,441.96 : 200,544.43 = 102,407.70 : x
  2. Step 2: Convert to fraction form
    145,441.96/200,544.43 = 102,407.70/x
  3. Step 3: Cross multiply
    145,441.96x = 200,544.43 × 102,407.70
  4. Step 4: Simplify right side
    145,441.96x = 20,537,293,824.11
  5. Step 5: Solve for x
    x = 20,537,293,824.11/145,441.96
  6. Step 6: Final answer
    x = 141,206.11

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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.