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Finding the Fourth Proportional to 145,483.06, 200,736.52 and 85,042.02

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Solution

The fourth proportional to 145,483.06, 200,736.52 and 85,042.02 is: 117,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,483.06 : 200,736.52 = 85,042.02 : x
  2. Step 2: Convert to fraction form
    145,483.06/200,736.52 = 85,042.02/x
  3. Step 3: Cross multiply
    145,483.06x = 200,736.52 × 85,042.02
  4. Step 4: Simplify right side
    145,483.06x = 17,071,039,148.57
  5. Step 5: Solve for x
    x = 17,071,039,148.57/145,483.06
  6. Step 6: Final answer
    x = 117,340.39

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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.