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Finding the Fourth Proportional to 118,749.60, 178,124.40 and 35,632.80

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Solution

The fourth proportional to 118,749.60, 178,124.40 and 35,632.80 is: 53,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,749.60 : 178,124.40 = 35,632.80 : x
  2. Step 2: Convert to fraction form
    118,749.60/178,124.40 = 35,632.80/x
  3. Step 3: Cross multiply
    118,749.60x = 178,124.40 × 35,632.80
  4. Step 4: Simplify right side
    118,749.60x = 6,347,071,120.32
  5. Step 5: Solve for x
    x = 6,347,071,120.32/118,749.60
  6. Step 6: Final answer
    x = 53,449.20

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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.