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Finding the Fourth Proportional to 130,928, 180,680.64 and 71,312

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Solution

The fourth proportional to 130,928, 180,680.64 and 71,312 is: 98,410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,928 : 180,680.64 = 71,312 : x
  2. Step 2: Convert to fraction form
    130,928/180,680.64 = 71,312/x
  3. Step 3: Cross multiply
    130,928x = 180,680.64 × 71,312
  4. Step 4: Simplify right side
    130,928x = 12,884,697,799.68
  5. Step 5: Solve for x
    x = 12,884,697,799.68/130,928
  6. Step 6: Final answer
    x = 98,410.56

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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.