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Finding the Fourth Proportional to 213,898.40, 320,840.80 and 101,659.36

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Solution

The fourth proportional to 213,898.40, 320,840.80 and 101,659.36 is: 152,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,898.40 : 320,840.80 = 101,659.36 : x
  2. Step 2: Convert to fraction form
    213,898.40/320,840.80 = 101,659.36/x
  3. Step 3: Cross multiply
    213,898.40x = 320,840.80 × 101,659.36
  4. Step 4: Simplify right side
    213,898.40x = 32,616,470,389.89
  5. Step 5: Solve for x
    x = 32,616,470,389.89/213,898.40
  6. Step 6: Final answer
    x = 152,485.81

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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.