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Finding the Fourth Proportional to 145,484.32, 200,738.26 and 85,043.27

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Solution

The fourth proportional to 145,484.32, 200,738.26 and 85,043.27 is: 117,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,484.32 : 200,738.26 = 85,043.27 : x
  2. Step 2: Convert to fraction form
    145,484.32/200,738.26 = 85,043.27/x
  3. Step 3: Cross multiply
    145,484.32x = 200,738.26 × 85,043.27
  4. Step 4: Simplify right side
    145,484.32x = 17,071,438,044.51
  5. Step 5: Solve for x
    x = 17,071,438,044.51/145,484.32
  6. Step 6: Final answer
    x = 117,342.12

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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.