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Finding the Fourth Proportional to 213,128.40, 319,692.56 and 63,368.08

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Solution

The fourth proportional to 213,128.40, 319,692.56 and 63,368.08 is: 95,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,128.40 : 319,692.56 = 63,368.08 : x
  2. Step 2: Convert to fraction form
    213,128.40/319,692.56 = 63,368.08/x
  3. Step 3: Cross multiply
    213,128.40x = 319,692.56 × 63,368.08
  4. Step 4: Simplify right side
    213,128.40x = 20,258,303,717.48
  5. Step 5: Solve for x
    x = 20,258,303,717.48/213,128.40
  6. Step 6: Final answer
    x = 95,052.11

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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.