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Finding the Fourth Proportional to 142,099.20, 213,225.60 and 63,225.60

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Solution

The fourth proportional to 142,099.20, 213,225.60 and 63,225.60 is: 94,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,099.20 : 213,225.60 = 63,225.60 : x
  2. Step 2: Convert to fraction form
    142,099.20/213,225.60 = 63,225.60/x
  3. Step 3: Cross multiply
    142,099.20x = 213,225.60 × 63,225.60
  4. Step 4: Simplify right side
    142,099.20x = 13,481,316,495.36
  5. Step 5: Solve for x
    x = 13,481,316,495.36/142,099.20
  6. Step 6: Final answer
    x = 94,872.57

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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.