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Finding the Fourth Proportional to 130,770.70, 180,417.16 and 85,474.84

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Solution

The fourth proportional to 130,770.70, 180,417.16 and 85,474.84 is: 117,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,770.70 : 180,417.16 = 85,474.84 : x
  2. Step 2: Convert to fraction form
    130,770.70/180,417.16 = 85,474.84/x
  3. Step 3: Cross multiply
    130,770.70x = 180,417.16 × 85,474.84
  4. Step 4: Simplify right side
    130,770.70x = 15,421,127,884.25
  5. Step 5: Solve for x
    x = 15,421,127,884.25/130,770.70
  6. Step 6: Final answer
    x = 117,924.95

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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.