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Finding the Fourth Proportional to 223,803.05, 308,853.95 and 137,730.02

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Solution

The fourth proportional to 223,803.05, 308,853.95 and 137,730.02 is: 190,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,803.05 : 308,853.95 = 137,730.02 : x
  2. Step 2: Convert to fraction form
    223,803.05/308,853.95 = 137,730.02/x
  3. Step 3: Cross multiply
    223,803.05x = 308,853.95 × 137,730.02
  4. Step 4: Simplify right side
    223,803.05x = 42,538,458,477.66
  5. Step 5: Solve for x
    x = 42,538,458,477.66/223,803.05
  6. Step 6: Final answer
    x = 190,070.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.