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Finding the Fourth Proportional to 130,989.47, 180,765.47 and 71,373.47

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Solution

The fourth proportional to 130,989.47, 180,765.47 and 71,373.47 is: 98,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,989.47 : 180,765.47 = 71,373.47 : x
  2. Step 2: Convert to fraction form
    130,989.47/180,765.47 = 71,373.47/x
  3. Step 3: Cross multiply
    130,989.47x = 180,765.47 × 71,373.47
  4. Step 4: Simplify right side
    130,989.47x = 12,901,857,589.39
  5. Step 5: Solve for x
    x = 12,901,857,589.39/130,989.47
  6. Step 6: Final answer
    x = 98,495.38

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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.