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Finding the Fourth Proportional to 98,012, 135,257.64 and 53,300

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Solution

The fourth proportional to 98,012, 135,257.64 and 53,300 is: 73,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,012 : 135,257.64 = 53,300 : x
  2. Step 2: Convert to fraction form
    98,012/135,257.64 = 53,300/x
  3. Step 3: Cross multiply
    98,012x = 135,257.64 × 53,300
  4. Step 4: Simplify right side
    98,012x = 7,209,232,212.00
  5. Step 5: Solve for x
    x = 7,209,232,212.00/98,012
  6. Step 6: Final answer
    x = 73,554.59

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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.