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Finding the Fourth Proportional to 70,485.12, 97,270.80 and 38,652

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Solution

The fourth proportional to 70,485.12, 97,270.80 and 38,652 is: 53,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,485.12 : 97,270.80 = 38,652 : x
  2. Step 2: Convert to fraction form
    70,485.12/97,270.80 = 38,652/x
  3. Step 3: Cross multiply
    70,485.12x = 97,270.80 × 38,652
  4. Step 4: Simplify right side
    70,485.12x = 3,759,710,961.60
  5. Step 5: Solve for x
    x = 3,759,710,961.60/70,485.12
  6. Step 6: Final answer
    x = 53,340.49

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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.