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Finding the Fourth Proportional to 142,486.62, 213,751.80 and 48,970.50

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Solution

The fourth proportional to 142,486.62, 213,751.80 and 48,970.50 is: 73,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,486.62 : 213,751.80 = 48,970.50 : x
  2. Step 2: Convert to fraction form
    142,486.62/213,751.80 = 48,970.50/x
  3. Step 3: Cross multiply
    142,486.62x = 213,751.80 × 48,970.50
  4. Step 4: Simplify right side
    142,486.62x = 10,467,532,521.90
  5. Step 5: Solve for x
    x = 10,467,532,521.90/142,486.62
  6. Step 6: Final answer
    x = 73,463.27

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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.