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Finding the Fourth Proportional to 212,062.50, 292,646.86 and 121,419.86

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Solution

The fourth proportional to 212,062.50, 292,646.86 and 121,419.86 is: 167,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,062.50 : 292,646.86 = 121,419.86 : x
  2. Step 2: Convert to fraction form
    212,062.50/292,646.86 = 121,419.86/x
  3. Step 3: Cross multiply
    212,062.50x = 292,646.86 × 121,419.86
  4. Step 4: Simplify right side
    212,062.50x = 35,533,140,770.64
  5. Step 5: Solve for x
    x = 35,533,140,770.64/212,062.50
  6. Step 6: Final answer
    x = 167,559.76

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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.