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Finding the Fourth Proportional to 153,697.50, 230,421.11 and 103,148.64

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Solution

The fourth proportional to 153,697.50, 230,421.11 and 103,148.64 is: 154,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,697.50 : 230,421.11 = 103,148.64 : x
  2. Step 2: Convert to fraction form
    153,697.50/230,421.11 = 103,148.64/x
  3. Step 3: Cross multiply
    153,697.50x = 230,421.11 × 103,148.64
  4. Step 4: Simplify right side
    153,697.50x = 23,767,623,608.05
  5. Step 5: Solve for x
    x = 23,767,623,608.05/153,697.50
  6. Step 6: Final answer
    x = 154,638.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.