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Finding the Fourth Proportional to 109,303.76, 163,978.68 and 35,426

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Solution

The fourth proportional to 109,303.76, 163,978.68 and 35,426 is: 53,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,303.76 : 163,978.68 = 35,426 : x
  2. Step 2: Convert to fraction form
    109,303.76/163,978.68 = 35,426/x
  3. Step 3: Cross multiply
    109,303.76x = 163,978.68 × 35,426
  4. Step 4: Simplify right side
    109,303.76x = 5,809,108,717.68
  5. Step 5: Solve for x
    x = 5,809,108,717.68/109,303.76
  6. Step 6: Final answer
    x = 53,146.47

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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.