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Finding the Fourth Proportional to 212,196, 292,846.32 and 121,580.16

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Solution

The fourth proportional to 212,196, 292,846.32 and 121,580.16 is: 167,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,196 : 292,846.32 = 121,580.16 : x
  2. Step 2: Convert to fraction form
    212,196/292,846.32 = 121,580.16/x
  3. Step 3: Cross multiply
    212,196x = 292,846.32 × 121,580.16
  4. Step 4: Simplify right side
    212,196x = 35,604,302,441.01
  5. Step 5: Solve for x
    x = 35,604,302,441.01/212,196
  6. Step 6: Final answer
    x = 167,789.70

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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.