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Finding the Fourth Proportional to 86,122, 128,720.90 and 77,669.20

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Solution

The fourth proportional to 86,122, 128,720.90 and 77,669.20 is: 116,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,122 : 128,720.90 = 77,669.20 : x
  2. Step 2: Convert to fraction form
    86,122/128,720.90 = 77,669.20/x
  3. Step 3: Cross multiply
    86,122x = 128,720.90 × 77,669.20
  4. Step 4: Simplify right side
    86,122x = 9,997,649,326.28
  5. Step 5: Solve for x
    x = 9,997,649,326.28/86,122
  6. Step 6: Final answer
    x = 116,087.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.