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Finding the Fourth Proportional to 163,820.42, 245,730.74 and 45,491.78

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Solution

The fourth proportional to 163,820.42, 245,730.74 and 45,491.78 is: 68,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,820.42 : 245,730.74 = 45,491.78 : x
  2. Step 2: Convert to fraction form
    163,820.42/245,730.74 = 45,491.78/x
  3. Step 3: Cross multiply
    163,820.42x = 245,730.74 × 45,491.78
  4. Step 4: Simplify right side
    163,820.42x = 11,178,728,763.32
  5. Step 5: Solve for x
    x = 11,178,728,763.32/163,820.42
  6. Step 6: Final answer
    x = 68,237.70

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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.