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Finding the Fourth Proportional to 130,774.79, 180,422.75 and 85,478.88

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Solution

The fourth proportional to 130,774.79, 180,422.75 and 85,478.88 is: 117,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,774.79 : 180,422.75 = 85,478.88 : x
  2. Step 2: Convert to fraction form
    130,774.79/180,422.75 = 85,478.88/x
  3. Step 3: Cross multiply
    130,774.79x = 180,422.75 × 85,478.88
  4. Step 4: Simplify right side
    130,774.79x = 15,422,334,596.52
  5. Step 5: Solve for x
    x = 15,422,334,596.52/130,774.79
  6. Step 6: Final answer
    x = 117,930.49

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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.