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Finding the Fourth Proportional to 130,632.81, 179,871 and 114,406.59

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Solution

The fourth proportional to 130,632.81, 179,871 and 114,406.59 is: 157,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,632.81 : 179,871 = 114,406.59 : x
  2. Step 2: Convert to fraction form
    130,632.81/179,871 = 114,406.59/x
  3. Step 3: Cross multiply
    130,632.81x = 179,871 × 114,406.59
  4. Step 4: Simplify right side
    130,632.81x = 20,578,427,749.89
  5. Step 5: Solve for x
    x = 20,578,427,749.89/130,632.81
  6. Step 6: Final answer
    x = 157,528.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.