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Finding the Fourth Proportional to 105,075.12, 157,402.12 and 99,555.96

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Solution

The fourth proportional to 105,075.12, 157,402.12 and 99,555.96 is: 149,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,075.12 : 157,402.12 = 99,555.96 : x
  2. Step 2: Convert to fraction form
    105,075.12/157,402.12 = 99,555.96/x
  3. Step 3: Cross multiply
    105,075.12x = 157,402.12 × 99,555.96
  4. Step 4: Simplify right side
    105,075.12x = 15,670,319,162.64
  5. Step 5: Solve for x
    x = 15,670,319,162.64/105,075.12
  6. Step 6: Final answer
    x = 149,134.44

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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.