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Finding the Fourth Proportional to 104,515, 156,798.54 and 30,643

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Solution

The fourth proportional to 104,515, 156,798.54 and 30,643 is: 45,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,515 : 156,798.54 = 30,643 : x
  2. Step 2: Convert to fraction form
    104,515/156,798.54 = 30,643/x
  3. Step 3: Cross multiply
    104,515x = 156,798.54 × 30,643
  4. Step 4: Simplify right side
    104,515x = 4,804,777,661.22
  5. Step 5: Solve for x
    x = 4,804,777,661.22/104,515
  6. Step 6: Final answer
    x = 45,972.13

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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.