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Finding the Fourth Proportional to 153,423.96, 211,723.36 and 85,439.45

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Solution

The fourth proportional to 153,423.96, 211,723.36 and 85,439.45 is: 117,905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,423.96 : 211,723.36 = 85,439.45 : x
  2. Step 2: Convert to fraction form
    153,423.96/211,723.36 = 85,439.45/x
  3. Step 3: Cross multiply
    153,423.96x = 211,723.36 × 85,439.45
  4. Step 4: Simplify right side
    153,423.96x = 18,089,526,158.34
  5. Step 5: Solve for x
    x = 18,089,526,158.34/153,423.96
  6. Step 6: Final answer
    x = 117,905.48

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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.