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Finding the Fourth Proportional to 217,441.68, 300,071.69 and 121,946.32

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Solution

The fourth proportional to 217,441.68, 300,071.69 and 121,946.32 is: 168,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,441.68 : 300,071.69 = 121,946.32 : x
  2. Step 2: Convert to fraction form
    217,441.68/300,071.69 = 121,946.32/x
  3. Step 3: Cross multiply
    217,441.68x = 300,071.69 × 121,946.32
  4. Step 4: Simplify right side
    217,441.68x = 36,592,638,331.68
  5. Step 5: Solve for x
    x = 36,592,638,331.68/217,441.68
  6. Step 6: Final answer
    x = 168,287.14

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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.