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Finding the Fourth Proportional to 115,820.40, 174,101.80 and 107,602.80

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Solution

The fourth proportional to 115,820.40, 174,101.80 and 107,602.80 is: 161,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,820.40 : 174,101.80 = 107,602.80 : x
  2. Step 2: Convert to fraction form
    115,820.40/174,101.80 = 107,602.80/x
  3. Step 3: Cross multiply
    115,820.40x = 174,101.80 × 107,602.80
  4. Step 4: Simplify right side
    115,820.40x = 18,733,841,165.04
  5. Step 5: Solve for x
    x = 18,733,841,165.04/115,820.40
  6. Step 6: Final answer
    x = 161,749.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.