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Finding the Fourth Proportional to 98,378, 135,762.12 and 53,666

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Solution

The fourth proportional to 98,378, 135,762.12 and 53,666 is: 74,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,378 : 135,762.12 = 53,666 : x
  2. Step 2: Convert to fraction form
    98,378/135,762.12 = 53,666/x
  3. Step 3: Cross multiply
    98,378x = 135,762.12 × 53,666
  4. Step 4: Simplify right side
    98,378x = 7,285,809,931.92
  5. Step 5: Solve for x
    x = 7,285,809,931.92/98,378
  6. Step 6: Final answer
    x = 74,059.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.