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Finding the Fourth Proportional to 130,921, 180,671.34 and 74,341.24

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Solution

The fourth proportional to 130,921, 180,671.34 and 74,341.24 is: 102,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,921 : 180,671.34 = 74,341.24 : x
  2. Step 2: Convert to fraction form
    130,921/180,671.34 = 74,341.24/x
  3. Step 3: Cross multiply
    130,921x = 180,671.34 × 74,341.24
  4. Step 4: Simplify right side
    130,921x = 13,431,331,448.06
  5. Step 5: Solve for x
    x = 13,431,331,448.06/130,921
  6. Step 6: Final answer
    x = 102,591.12

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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.