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Finding the Fourth Proportional to 145,655.76, 201,002 and 81,992.16

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Solution

The fourth proportional to 145,655.76, 201,002 and 81,992.16 is: 113,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,655.76 : 201,002 = 81,992.16 : x
  2. Step 2: Convert to fraction form
    145,655.76/201,002 = 81,992.16/x
  3. Step 3: Cross multiply
    145,655.76x = 201,002 × 81,992.16
  4. Step 4: Simplify right side
    145,655.76x = 16,480,588,144.32
  5. Step 5: Solve for x
    x = 16,480,588,144.32/145,655.76
  6. Step 6: Final answer
    x = 113,147.52

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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.