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Finding the Fourth Proportional to 97,210.80, 145,816.20 and 82,630.80

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Solution

The fourth proportional to 97,210.80, 145,816.20 and 82,630.80 is: 123,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,210.80 : 145,816.20 = 82,630.80 : x
  2. Step 2: Convert to fraction form
    97,210.80/145,816.20 = 82,630.80/x
  3. Step 3: Cross multiply
    97,210.80x = 145,816.20 × 82,630.80
  4. Step 4: Simplify right side
    97,210.80x = 12,048,909,258.96
  5. Step 5: Solve for x
    x = 12,048,909,258.96/97,210.80
  6. Step 6: Final answer
    x = 123,946.20

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.