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Finding the Fourth Proportional to 142,565.07, 213,895.11 and 47,804.62

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Solution

The fourth proportional to 142,565.07, 213,895.11 and 47,804.62 is: 71,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,565.07 : 213,895.11 = 47,804.62 : x
  2. Step 2: Convert to fraction form
    142,565.07/213,895.11 = 47,804.62/x
  3. Step 3: Cross multiply
    142,565.07x = 213,895.11 × 47,804.62
  4. Step 4: Simplify right side
    142,565.07x = 10,225,174,453.41
  5. Step 5: Solve for x
    x = 10,225,174,453.41/142,565.07
  6. Step 6: Final answer
    x = 71,722.86

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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.