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Finding the Fourth Proportional to 201,878.40, 302,744.70 and 102,005.40

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Solution

The fourth proportional to 201,878.40, 302,744.70 and 102,005.40 is: 152,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,878.40 : 302,744.70 = 102,005.40 : x
  2. Step 2: Convert to fraction form
    201,878.40/302,744.70 = 102,005.40/x
  3. Step 3: Cross multiply
    201,878.40x = 302,744.70 × 102,005.40
  4. Step 4: Simplify right side
    201,878.40x = 30,881,594,221.38
  5. Step 5: Solve for x
    x = 30,881,594,221.38/201,878.40
  6. Step 6: Final answer
    x = 152,971.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.