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Finding the Fourth Proportional to 70,349.31, 97,078.32 and 38,512.08

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Solution

The fourth proportional to 70,349.31, 97,078.32 and 38,512.08 is: 53,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,349.31 : 97,078.32 = 38,512.08 : x
  2. Step 2: Convert to fraction form
    70,349.31/97,078.32 = 38,512.08/x
  3. Step 3: Cross multiply
    70,349.31x = 97,078.32 × 38,512.08
  4. Step 4: Simplify right side
    70,349.31x = 3,738,688,026.11
  5. Step 5: Solve for x
    x = 3,738,688,026.11/70,349.31
  6. Step 6: Final answer
    x = 53,144.63

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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.