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Finding the Fourth Proportional to 145,640.16, 201,016.20 and 95,310

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Solution

The fourth proportional to 145,640.16, 201,016.20 and 95,310 is: 131,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,640.16 : 201,016.20 = 95,310 : x
  2. Step 2: Convert to fraction form
    145,640.16/201,016.20 = 95,310/x
  3. Step 3: Cross multiply
    145,640.16x = 201,016.20 × 95,310
  4. Step 4: Simplify right side
    145,640.16x = 19,158,854,022
  5. Step 5: Solve for x
    x = 19,158,854,022/145,640.16
  6. Step 6: Final answer
    x = 131,549.25

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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.