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Finding the Fourth Proportional to 135,798.80, 203,271.76 and 85,705.60

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Solution

The fourth proportional to 135,798.80, 203,271.76 and 85,705.60 is: 128,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,798.80 : 203,271.76 = 85,705.60 : x
  2. Step 2: Convert to fraction form
    135,798.80/203,271.76 = 85,705.60/x
  3. Step 3: Cross multiply
    135,798.80x = 203,271.76 × 85,705.60
  4. Step 4: Simplify right side
    135,798.80x = 17,421,528,153.86
  5. Step 5: Solve for x
    x = 17,421,528,153.86/135,798.80
  6. Step 6: Final answer
    x = 128,289.26

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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.