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Finding the Fourth Proportional to 102,546, 153,824.76 and 28,679.76

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Solution

The fourth proportional to 102,546, 153,824.76 and 28,679.76 is: 43,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,546 : 153,824.76 = 28,679.76 : x
  2. Step 2: Convert to fraction form
    102,546/153,824.76 = 28,679.76/x
  3. Step 3: Cross multiply
    102,546x = 153,824.76 × 28,679.76
  4. Step 4: Simplify right side
    102,546x = 4,411,657,198.86
  5. Step 5: Solve for x
    x = 4,411,657,198.86/102,546
  6. Step 6: Final answer
    x = 43,021.25

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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.