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Finding the Fourth Proportional to 130,985, 180,759.31 and 71,369

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Solution

The fourth proportional to 130,985, 180,759.31 and 71,369 is: 98,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,985 : 180,759.31 = 71,369 : x
  2. Step 2: Convert to fraction form
    130,985/180,759.31 = 71,369/x
  3. Step 3: Cross multiply
    130,985x = 180,759.31 × 71,369
  4. Step 4: Simplify right side
    130,985x = 12,900,611,195.39
  5. Step 5: Solve for x
    x = 12,900,611,195.39/130,985
  6. Step 6: Final answer
    x = 98,489.23

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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.