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Finding the Fourth Proportional to 101,075.30, 151,710.15 and 51,211.70

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Solution

The fourth proportional to 101,075.30, 151,710.15 and 51,211.70 is: 76,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,075.30 : 151,710.15 = 51,211.70 : x
  2. Step 2: Convert to fraction form
    101,075.30/151,710.15 = 51,211.70/x
  3. Step 3: Cross multiply
    101,075.30x = 151,710.15 × 51,211.70
  4. Step 4: Simplify right side
    101,075.30x = 7,769,334,688.76
  5. Step 5: Solve for x
    x = 7,769,334,688.76/101,075.30
  6. Step 6: Final answer
    x = 76,866.80

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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.