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Finding the Fourth Proportional to 142,763.60, 213,940.60 and 105,029.20

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Solution

The fourth proportional to 142,763.60, 213,940.60 and 105,029.20 is: 157,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,763.60 : 213,940.60 = 105,029.20 : x
  2. Step 2: Convert to fraction form
    142,763.60/213,940.60 = 105,029.20/x
  3. Step 3: Cross multiply
    142,763.60x = 213,940.60 × 105,029.20
  4. Step 4: Simplify right side
    142,763.60x = 22,470,010,065.52
  5. Step 5: Solve for x
    x = 22,470,010,065.52/142,763.60
  6. Step 6: Final answer
    x = 157,393.13

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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.