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Finding the Fourth Proportional to 145,609.54, 200,907.93 and 81,924.10

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Solution

The fourth proportional to 145,609.54, 200,907.93 and 81,924.10 is: 113,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,609.54 : 200,907.93 = 81,924.10 : x
  2. Step 2: Convert to fraction form
    145,609.54/200,907.93 = 81,924.10/x
  3. Step 3: Cross multiply
    145,609.54x = 200,907.93 × 81,924.10
  4. Step 4: Simplify right side
    145,609.54x = 16,459,201,348.11
  5. Step 5: Solve for x
    x = 16,459,201,348.11/145,609.54
  6. Step 6: Final answer
    x = 113,036.56

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1.5x scale

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.