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Finding the Fourth Proportional to 228,289.48, 315,040.26 and 127,681

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Solution

The fourth proportional to 228,289.48, 315,040.26 and 127,681 is: 176,200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,289.48 : 315,040.26 = 127,681 : x
  2. Step 2: Convert to fraction form
    228,289.48/315,040.26 = 127,681/x
  3. Step 3: Cross multiply
    228,289.48x = 315,040.26 × 127,681
  4. Step 4: Simplify right side
    228,289.48x = 40,224,655,437.06
  5. Step 5: Solve for x
    x = 40,224,655,437.06/228,289.48
  6. Step 6: Final answer
    x = 176,200.21

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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.