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Finding the Fourth Proportional to 101,534.15, 152,440.98 and 51,648

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Solution

The fourth proportional to 101,534.15, 152,440.98 and 51,648 is: 77,543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,534.15 : 152,440.98 = 51,648 : x
  2. Step 2: Convert to fraction form
    101,534.15/152,440.98 = 51,648/x
  3. Step 3: Cross multiply
    101,534.15x = 152,440.98 × 51,648
  4. Step 4: Simplify right side
    101,534.15x = 7,873,271,735.04
  5. Step 5: Solve for x
    x = 7,873,271,735.04/101,534.15
  6. Step 6: Final answer
    x = 77,543.09

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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.