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Finding the Fourth Proportional to 70,523.12, 97,328.16 and 38,698.16

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Solution

The fourth proportional to 70,523.12, 97,328.16 and 38,698.16 is: 53,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,523.12 : 97,328.16 = 38,698.16 : x
  2. Step 2: Convert to fraction form
    70,523.12/97,328.16 = 38,698.16/x
  3. Step 3: Cross multiply
    70,523.12x = 97,328.16 × 38,698.16
  4. Step 4: Simplify right side
    70,523.12x = 3,766,420,708.19
  5. Step 5: Solve for x
    x = 3,766,420,708.19/70,523.12
  6. Step 6: Final answer
    x = 53,406.89

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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.