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Finding the Fourth Proportional to 149,008.96, 205,582.04 and 84,471.28

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Solution

The fourth proportional to 149,008.96, 205,582.04 and 84,471.28 is: 116,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,008.96 : 205,582.04 = 84,471.28 : x
  2. Step 2: Convert to fraction form
    149,008.96/205,582.04 = 84,471.28/x
  3. Step 3: Cross multiply
    149,008.96x = 205,582.04 × 84,471.28
  4. Step 4: Simplify right side
    149,008.96x = 17,365,778,063.81
  5. Step 5: Solve for x
    x = 17,365,778,063.81/149,008.96
  6. Step 6: Final answer
    x = 116,541.84

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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.