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Finding the Fourth Proportional to 70,409.39, 97,165.17 and 38,144.34

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Solution

The fourth proportional to 70,409.39, 97,165.17 and 38,144.34 is: 52,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,409.39 : 97,165.17 = 38,144.34 : x
  2. Step 2: Convert to fraction form
    70,409.39/97,165.17 = 38,144.34/x
  3. Step 3: Cross multiply
    70,409.39x = 97,165.17 × 38,144.34
  4. Step 4: Simplify right side
    70,409.39x = 3,706,301,280.64
  5. Step 5: Solve for x
    x = 3,706,301,280.64/70,409.39
  6. Step 6: Final answer
    x = 52,639.31

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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.