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Finding the Fourth Proportional to 130,987.84, 180,763.22 and 71,371.84

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Solution

The fourth proportional to 130,987.84, 180,763.22 and 71,371.84 is: 98,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,987.84 : 180,763.22 = 71,371.84 : x
  2. Step 2: Convert to fraction form
    130,987.84/180,763.22 = 71,371.84/x
  3. Step 3: Cross multiply
    130,987.84x = 180,763.22 × 71,371.84
  4. Step 4: Simplify right side
    130,987.84x = 12,901,403,615.72
  5. Step 5: Solve for x
    x = 12,901,403,615.72/130,987.84
  6. Step 6: Final answer
    x = 98,493.14

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1.5x scale

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.