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Finding the Fourth Proportional to 289,792.96, 434,724.72 and 90,124

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Solution

The fourth proportional to 289,792.96, 434,724.72 and 90,124 is: 135,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,792.96 : 434,724.72 = 90,124 : x
  2. Step 2: Convert to fraction form
    289,792.96/434,724.72 = 90,124/x
  3. Step 3: Cross multiply
    289,792.96x = 434,724.72 × 90,124
  4. Step 4: Simplify right side
    289,792.96x = 39,179,130,665.28
  5. Step 5: Solve for x
    x = 39,179,130,665.28/289,792.96
  6. Step 6: Final answer
    x = 135,196.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.