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Finding the Fourth Proportional to 145,412.34, 200,687.70 and 81,762.42

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Solution

The fourth proportional to 145,412.34, 200,687.70 and 81,762.42 is: 112,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,412.34 : 200,687.70 = 81,762.42 : x
  2. Step 2: Convert to fraction form
    145,412.34/200,687.70 = 81,762.42/x
  3. Step 3: Cross multiply
    145,412.34x = 200,687.70 × 81,762.42
  4. Step 4: Simplify right side
    145,412.34x = 16,408,712,016.23
  5. Step 5: Solve for x
    x = 16,408,712,016.23/145,412.34
  6. Step 6: Final answer
    x = 112,842.64

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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.