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Finding the Fourth Proportional to 153,898.45, 230,928.93 and 109,208.59

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Solution

The fourth proportional to 153,898.45, 230,928.93 and 109,208.59 is: 163,870.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,898.45 : 230,928.93 = 109,208.59 : x
  2. Step 2: Convert to fraction form
    153,898.45/230,928.93 = 109,208.59/x
  3. Step 3: Cross multiply
    153,898.45x = 230,928.93 × 109,208.59
  4. Step 4: Simplify right side
    153,898.45x = 25,219,422,258.19
  5. Step 5: Solve for x
    x = 25,219,422,258.19/153,898.45
  6. Step 6: Final answer
    x = 163,870.54

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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.