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Finding the Fourth Proportional to 142,718.26, 214,069.15 and 42,876.26

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Solution

The fourth proportional to 142,718.26, 214,069.15 and 42,876.26 is: 64,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,718.26 : 214,069.15 = 42,876.26 : x
  2. Step 2: Convert to fraction form
    142,718.26/214,069.15 = 42,876.26/x
  3. Step 3: Cross multiply
    142,718.26x = 214,069.15 × 42,876.26
  4. Step 4: Simplify right side
    142,718.26x = 9,178,484,533.38
  5. Step 5: Solve for x
    x = 9,178,484,533.38/142,718.26
  6. Step 6: Final answer
    x = 64,311.91

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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.