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Finding the Fourth Proportional to 105,075.62, 157,402.86 and 99,556.46

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Solution

The fourth proportional to 105,075.62, 157,402.86 and 99,556.46 is: 149,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,075.62 : 157,402.86 = 99,556.46 : x
  2. Step 2: Convert to fraction form
    105,075.62/157,402.86 = 99,556.46/x
  3. Step 3: Cross multiply
    105,075.62x = 157,402.86 × 99,556.46
  4. Step 4: Simplify right side
    105,075.62x = 15,670,471,535.48
  5. Step 5: Solve for x
    x = 15,670,471,535.48/105,075.62
  6. Step 6: Final answer
    x = 149,135.18

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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.