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Finding the Fourth Proportional to 137,302.40, 205,384.92 and 128,904.32

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Solution

The fourth proportional to 137,302.40, 205,384.92 and 128,904.32 is: 192,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,302.40 : 205,384.92 = 128,904.32 : x
  2. Step 2: Convert to fraction form
    137,302.40/205,384.92 = 128,904.32/x
  3. Step 3: Cross multiply
    137,302.40x = 205,384.92 × 128,904.32
  4. Step 4: Simplify right side
    137,302.40x = 26,475,003,450.85
  5. Step 5: Solve for x
    x = 26,475,003,450.85/137,302.40
  6. Step 6: Final answer
    x = 192,822.58

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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.