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Finding the Fourth Proportional to 228,633.54, 315,525.60 and 137,988.06

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Solution

The fourth proportional to 228,633.54, 315,525.60 and 137,988.06 is: 190,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,633.54 : 315,525.60 = 137,988.06 : x
  2. Step 2: Convert to fraction form
    228,633.54/315,525.60 = 137,988.06/x
  3. Step 3: Cross multiply
    228,633.54x = 315,525.60 × 137,988.06
  4. Step 4: Simplify right side
    228,633.54x = 43,538,765,424.34
  5. Step 5: Solve for x
    x = 43,538,765,424.34/228,633.54
  6. Step 6: Final answer
    x = 190,430.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.