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Finding the Fourth Proportional to 102,564, 153,851.76 and 28,697.76

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Solution

The fourth proportional to 102,564, 153,851.76 and 28,697.76 is: 43,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564 : 153,851.76 = 28,697.76 : x
  2. Step 2: Convert to fraction form
    102,564/153,851.76 = 28,697.76/x
  3. Step 3: Cross multiply
    102,564x = 153,851.76 × 28,697.76
  4. Step 4: Simplify right side
    102,564x = 4,415,200,884.06
  5. Step 5: Solve for x
    x = 4,415,200,884.06/102,564
  6. Step 6: Final answer
    x = 43,048.25

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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.