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Finding the Fourth Proportional to 164,072.60, 245,452.80 and 142,129.70

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Solution

The fourth proportional to 164,072.60, 245,452.80 and 142,129.70 is: 212,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,072.60 : 245,452.80 = 142,129.70 : x
  2. Step 2: Convert to fraction form
    164,072.60/245,452.80 = 142,129.70/x
  3. Step 3: Cross multiply
    164,072.60x = 245,452.80 × 142,129.70
  4. Step 4: Simplify right side
    164,072.60x = 34,886,132,828.16
  5. Step 5: Solve for x
    x = 34,886,132,828.16/164,072.60
  6. Step 6: Final answer
    x = 212,626.20

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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.