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Finding the Fourth Proportional to 134,712.30, 185,904.30 and 74,285.34

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Solution

The fourth proportional to 134,712.30, 185,904.30 and 74,285.34 is: 102,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,712.30 : 185,904.30 = 74,285.34 : x
  2. Step 2: Convert to fraction form
    134,712.30/185,904.30 = 74,285.34/x
  3. Step 3: Cross multiply
    134,712.30x = 185,904.30 × 74,285.34
  4. Step 4: Simplify right side
    134,712.30x = 13,809,964,132.96
  5. Step 5: Solve for x
    x = 13,809,964,132.96/134,712.30
  6. Step 6: Final answer
    x = 102,514.50

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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.