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Finding the Fourth Proportional to 145,638.16, 201,013.44 and 95,308

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Solution

The fourth proportional to 145,638.16, 201,013.44 and 95,308 is: 131,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,638.16 : 201,013.44 = 95,308 : x
  2. Step 2: Convert to fraction form
    145,638.16/201,013.44 = 95,308/x
  3. Step 3: Cross multiply
    145,638.16x = 201,013.44 × 95,308
  4. Step 4: Simplify right side
    145,638.16x = 19,158,188,939.52
  5. Step 5: Solve for x
    x = 19,158,188,939.52/145,638.16
  6. Step 6: Final answer
    x = 131,546.49

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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.