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Finding the Fourth Proportional to 109,009.40, 163,538.40 and 42,443.60

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Solution

The fourth proportional to 109,009.40, 163,538.40 and 42,443.60 is: 63,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,009.40 : 163,538.40 = 42,443.60 : x
  2. Step 2: Convert to fraction form
    109,009.40/163,538.40 = 42,443.60/x
  3. Step 3: Cross multiply
    109,009.40x = 163,538.40 × 42,443.60
  4. Step 4: Simplify right side
    109,009.40x = 6,941,158,434.24
  5. Step 5: Solve for x
    x = 6,941,158,434.24/109,009.40
  6. Step 6: Final answer
    x = 63,674.86

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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.