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Finding the Fourth Proportional to 142,730.94, 214,101.26 and 67,812.42

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Solution

The fourth proportional to 142,730.94, 214,101.26 and 67,812.42 is: 101,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,730.94 : 214,101.26 = 67,812.42 : x
  2. Step 2: Convert to fraction form
    142,730.94/214,101.26 = 67,812.42/x
  3. Step 3: Cross multiply
    142,730.94x = 214,101.26 × 67,812.42
  4. Step 4: Simplify right side
    142,730.94x = 14,518,724,565.65
  5. Step 5: Solve for x
    x = 14,518,724,565.65/142,730.94
  6. Step 6: Final answer
    x = 101,720.93

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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.