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Finding the Fourth Proportional to 103,094.64, 154,642.65 and 28,213.11

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Solution

The fourth proportional to 103,094.64, 154,642.65 and 28,213.11 is: 42,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,094.64 : 154,642.65 = 28,213.11 : x
  2. Step 2: Convert to fraction form
    103,094.64/154,642.65 = 28,213.11/x
  3. Step 3: Cross multiply
    103,094.64x = 154,642.65 × 28,213.11
  4. Step 4: Simplify right side
    103,094.64x = 4,362,950,095.14
  5. Step 5: Solve for x
    x = 4,362,950,095.14/103,094.64
  6. Step 6: Final answer
    x = 42,319.85

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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.