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Finding the Fourth Proportional to 102,636, 153,962.64 and 28,764

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Solution

The fourth proportional to 102,636, 153,962.64 and 28,764 is: 43,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,636 : 153,962.64 = 28,764 : x
  2. Step 2: Convert to fraction form
    102,636/153,962.64 = 28,764/x
  3. Step 3: Cross multiply
    102,636x = 153,962.64 × 28,764
  4. Step 4: Simplify right side
    102,636x = 4,428,581,376.96
  5. Step 5: Solve for x
    x = 4,428,581,376.96/102,636
  6. Step 6: Final answer
    x = 43,148.42

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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.