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Finding the Fourth Proportional to 145,455, 200,730.33 and 95,154

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Solution

The fourth proportional to 145,455, 200,730.33 and 95,154 is: 131,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,455 : 200,730.33 = 95,154 : x
  2. Step 2: Convert to fraction form
    145,455/200,730.33 = 95,154/x
  3. Step 3: Cross multiply
    145,455x = 200,730.33 × 95,154
  4. Step 4: Simplify right side
    145,455x = 19,100,293,820.82
  5. Step 5: Solve for x
    x = 19,100,293,820.82/145,455
  6. Step 6: Final answer
    x = 131,314.11

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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.