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Finding the Fourth Proportional to 69,809.36, 96,334.08 and 37,978.28

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Solution

The fourth proportional to 69,809.36, 96,334.08 and 37,978.28 is: 52,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,809.36 : 96,334.08 = 37,978.28 : x
  2. Step 2: Convert to fraction form
    69,809.36/96,334.08 = 37,978.28/x
  3. Step 3: Cross multiply
    69,809.36x = 96,334.08 × 37,978.28
  4. Step 4: Simplify right side
    69,809.36x = 3,658,602,663.78
  5. Step 5: Solve for x
    x = 3,658,602,663.78/69,809.36
  6. Step 6: Final answer
    x = 52,408.48

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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.