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Finding the Fourth Proportional to 130,910.61, 180,656.81 and 74,321.98

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Solution

The fourth proportional to 130,910.61, 180,656.81 and 74,321.98 is: 102,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,910.61 : 180,656.81 = 74,321.98 : x
  2. Step 2: Convert to fraction form
    130,910.61/180,656.81 = 74,321.98/x
  3. Step 3: Cross multiply
    130,910.61x = 180,656.81 × 74,321.98
  4. Step 4: Simplify right side
    130,910.61x = 13,426,771,819.68
  5. Step 5: Solve for x
    x = 13,426,771,819.68/130,910.61
  6. Step 6: Final answer
    x = 102,564.43

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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.