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Finding the Fourth Proportional to 128,029.02, 192,047.04 and 34,534.50

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Solution

The fourth proportional to 128,029.02, 192,047.04 and 34,534.50 is: 51,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,029.02 : 192,047.04 = 34,534.50 : x
  2. Step 2: Convert to fraction form
    128,029.02/192,047.04 = 34,534.50/x
  3. Step 3: Cross multiply
    128,029.02x = 192,047.04 × 34,534.50
  4. Step 4: Simplify right side
    128,029.02x = 6,632,248,502.88
  5. Step 5: Solve for x
    x = 6,632,248,502.88/128,029.02
  6. Step 6: Final answer
    x = 51,802.70

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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.