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Finding the Fourth Proportional to 228,775.42, 315,634.35 and 138,097

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Solution

The fourth proportional to 228,775.42, 315,634.35 and 138,097 is: 190,528.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,775.42 : 315,634.35 = 138,097 : x
  2. Step 2: Convert to fraction form
    228,775.42/315,634.35 = 138,097/x
  3. Step 3: Cross multiply
    228,775.42x = 315,634.35 × 138,097
  4. Step 4: Simplify right side
    228,775.42x = 43,588,156,831.95
  5. Step 5: Solve for x
    x = 43,588,156,831.95/228,775.42
  6. Step 6: Final answer
    x = 190,528.15

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1.5x scale

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.