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Finding the Fourth Proportional to 52,014.40, 71,780.40 and 28,141.60

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Solution

The fourth proportional to 52,014.40, 71,780.40 and 28,141.60 is: 38,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014.40 : 71,780.40 = 28,141.60 : x
  2. Step 2: Convert to fraction form
    52,014.40/71,780.40 = 28,141.60/x
  3. Step 3: Cross multiply
    52,014.40x = 71,780.40 × 28,141.60
  4. Step 4: Simplify right side
    52,014.40x = 2,020,015,304.64
  5. Step 5: Solve for x
    x = 2,020,015,304.64/52,014.40
  6. Step 6: Final answer
    x = 38,835.69

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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.