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Finding the Fourth Proportional to 210,856.85, 290,989.72 and 115,363.55

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Solution

The fourth proportional to 210,856.85, 290,989.72 and 115,363.55 is: 159,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,856.85 : 290,989.72 = 115,363.55 : x
  2. Step 2: Convert to fraction form
    210,856.85/290,989.72 = 115,363.55/x
  3. Step 3: Cross multiply
    210,856.85x = 290,989.72 × 115,363.55
  4. Step 4: Simplify right side
    210,856.85x = 33,569,607,112.71
  5. Step 5: Solve for x
    x = 33,569,607,112.71/210,856.85
  6. Step 6: Final answer
    x = 159,205.67

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1.5x scale

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.