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Finding the Fourth Proportional to 268,457.76, 402,978.36 and 108,643.68

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Solution

The fourth proportional to 268,457.76, 402,978.36 and 108,643.68 is: 163,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,457.76 : 402,978.36 = 108,643.68 : x
  2. Step 2: Convert to fraction form
    268,457.76/402,978.36 = 108,643.68/x
  3. Step 3: Cross multiply
    268,457.76x = 402,978.36 × 108,643.68
  4. Step 4: Simplify right side
    268,457.76x = 43,781,051,990.76
  5. Step 5: Solve for x
    x = 43,781,051,990.76/268,457.76
  6. Step 6: Final answer
    x = 163,083.58

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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.