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Finding the Fourth Proportional to 142,368.32, 213,940.47 and 75,855.98

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Solution

The fourth proportional to 142,368.32, 213,940.47 and 75,855.98 is: 113,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,368.32 : 213,940.47 = 75,855.98 : x
  2. Step 2: Convert to fraction form
    142,368.32/213,940.47 = 75,855.98/x
  3. Step 3: Cross multiply
    142,368.32x = 213,940.47 × 75,855.98
  4. Step 4: Simplify right side
    142,368.32x = 16,228,664,013.51
  5. Step 5: Solve for x
    x = 16,228,664,013.51/142,368.32
  6. Step 6: Final answer
    x = 113,990.70

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1.5x scale

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.