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Finding the Fourth Proportional to 257,804.30, 386,724.88 and 107,893.64

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Solution

The fourth proportional to 257,804.30, 386,724.88 and 107,893.64 is: 161,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,804.30 : 386,724.88 = 107,893.64 : x
  2. Step 2: Convert to fraction form
    257,804.30/386,724.88 = 107,893.64/x
  3. Step 3: Cross multiply
    257,804.30x = 386,724.88 × 107,893.64
  4. Step 4: Simplify right side
    257,804.30x = 41,725,154,981.76
  5. Step 5: Solve for x
    x = 41,725,154,981.76/257,804.30
  6. Step 6: Final answer
    x = 161,848.17

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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.