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Finding the Fourth Proportional to 148,670.41, 205,165.08 and 84,138.47

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Solution

The fourth proportional to 148,670.41, 205,165.08 and 84,138.47 is: 116,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,670.41 : 205,165.08 = 84,138.47 : x
  2. Step 2: Convert to fraction form
    148,670.41/205,165.08 = 84,138.47/x
  3. Step 3: Cross multiply
    148,670.41x = 205,165.08 × 84,138.47
  4. Step 4: Simplify right side
    148,670.41x = 17,262,275,928.63
  5. Step 5: Solve for x
    x = 17,262,275,928.63/148,670.41
  6. Step 6: Final answer
    x = 116,111.04

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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.