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Finding the Fourth Proportional to 105,159.77, 157,741.02 and 30,281.14

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Solution

The fourth proportional to 105,159.77, 157,741.02 and 30,281.14 is: 45,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,159.77 : 157,741.02 = 30,281.14 : x
  2. Step 2: Convert to fraction form
    105,159.77/157,741.02 = 30,281.14/x
  3. Step 3: Cross multiply
    105,159.77x = 157,741.02 × 30,281.14
  4. Step 4: Simplify right side
    105,159.77x = 4,776,578,107.54
  5. Step 5: Solve for x
    x = 4,776,578,107.54/105,159.77
  6. Step 6: Final answer
    x = 45,422.11

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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.