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Finding the Fourth Proportional to 130,832, 180,548.16 and 71,216

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Solution

The fourth proportional to 130,832, 180,548.16 and 71,216 is: 98,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,832 : 180,548.16 = 71,216 : x
  2. Step 2: Convert to fraction form
    130,832/180,548.16 = 71,216/x
  3. Step 3: Cross multiply
    130,832x = 180,548.16 × 71,216
  4. Step 4: Simplify right side
    130,832x = 12,857,917,762.56
  5. Step 5: Solve for x
    x = 12,857,917,762.56/130,832
  6. Step 6: Final answer
    x = 98,278.08

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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.