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Finding the Fourth Proportional to 228,498.67, 342,818.07 and 102,245.20

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Solution

The fourth proportional to 228,498.67, 342,818.07 and 102,245.20 is: 153,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,498.67 : 342,818.07 = 102,245.20 : x
  2. Step 2: Convert to fraction form
    228,498.67/342,818.07 = 102,245.20/x
  3. Step 3: Cross multiply
    228,498.67x = 342,818.07 × 102,245.20
  4. Step 4: Simplify right side
    228,498.67x = 35,051,502,130.76
  5. Step 5: Solve for x
    x = 35,051,502,130.76/228,498.67
  6. Step 6: Final answer
    x = 153,399.15

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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.