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Finding the Fourth Proportional to 130,545, 180,209.02 and 82,871.64

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Solution

The fourth proportional to 130,545, 180,209.02 and 82,871.64 is: 114,399.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,545 : 180,209.02 = 82,871.64 : x
  2. Step 2: Convert to fraction form
    130,545/180,209.02 = 82,871.64/x
  3. Step 3: Cross multiply
    130,545x = 180,209.02 × 82,871.64
  4. Step 4: Simplify right side
    130,545x = 14,934,217,030.19
  5. Step 5: Solve for x
    x = 14,934,217,030.19/130,545
  6. Step 6: Final answer
    x = 114,399.00

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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.