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Finding the Fourth Proportional to 205,602.60, 308,458.78 and 87,280.68

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Solution

The fourth proportional to 205,602.60, 308,458.78 and 87,280.68 is: 130,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,602.60 : 308,458.78 = 87,280.68 : x
  2. Step 2: Convert to fraction form
    205,602.60/308,458.78 = 87,280.68/x
  3. Step 3: Cross multiply
    205,602.60x = 308,458.78 × 87,280.68
  4. Step 4: Simplify right side
    205,602.60x = 26,922,492,070.37
  5. Step 5: Solve for x
    x = 26,922,492,070.37/205,602.60
  6. Step 6: Final answer
    x = 130,944.32

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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.