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Finding the Fourth Proportional to 121,406.40, 182,498.40 and 86,587.20

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Solution

The fourth proportional to 121,406.40, 182,498.40 and 86,587.20 is: 130,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,406.40 : 182,498.40 = 86,587.20 : x
  2. Step 2: Convert to fraction form
    121,406.40/182,498.40 = 86,587.20/x
  3. Step 3: Cross multiply
    121,406.40x = 182,498.40 × 86,587.20
  4. Step 4: Simplify right side
    121,406.40x = 15,802,025,460.48
  5. Step 5: Solve for x
    x = 15,802,025,460.48/121,406.40
  6. Step 6: Final answer
    x = 130,158.09

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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.