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Finding the Fourth Proportional to 158,202.45, 218,256.93 and 97,668.05

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Solution

The fourth proportional to 158,202.45, 218,256.93 and 97,668.05 is: 134,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,202.45 : 218,256.93 = 97,668.05 : x
  2. Step 2: Convert to fraction form
    158,202.45/218,256.93 = 97,668.05/x
  3. Step 3: Cross multiply
    158,202.45x = 218,256.93 × 97,668.05
  4. Step 4: Simplify right side
    158,202.45x = 21,316,727,660.80
  5. Step 5: Solve for x
    x = 21,316,727,660.80/158,202.45
  6. Step 6: Final answer
    x = 134,743.35

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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.