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Finding the Fourth Proportional to 142,298.40, 213,447.60 and 119,143.20

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Solution

The fourth proportional to 142,298.40, 213,447.60 and 119,143.20 is: 178,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,298.40 : 213,447.60 = 119,143.20 : x
  2. Step 2: Convert to fraction form
    142,298.40/213,447.60 = 119,143.20/x
  3. Step 3: Cross multiply
    142,298.40x = 213,447.60 × 119,143.20
  4. Step 4: Simplify right side
    142,298.40x = 25,430,830,096.32
  5. Step 5: Solve for x
    x = 25,430,830,096.32/142,298.40
  6. Step 6: Final answer
    x = 178,714.80

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1.5x scale

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.