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Finding the Fourth Proportional to 145,495.44, 200,782.80 and 81,833.90

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Solution

The fourth proportional to 145,495.44, 200,782.80 and 81,833.90 is: 112,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,495.44 : 200,782.80 = 81,833.90 : x
  2. Step 2: Convert to fraction form
    145,495.44/200,782.80 = 81,833.90/x
  3. Step 3: Cross multiply
    145,495.44x = 200,782.80 × 81,833.90
  4. Step 4: Simplify right side
    145,495.44x = 16,430,838,573.01
  5. Step 5: Solve for x
    x = 16,430,838,573.01/145,495.44
  6. Step 6: Final answer
    x = 112,930.26

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1.5x scale

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.