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Finding the Fourth Proportional to 142,503.76, 213,784.80 and 48,997.36

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Solution

The fourth proportional to 142,503.76, 213,784.80 and 48,997.36 is: 73,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,503.76 : 213,784.80 = 48,997.36 : x
  2. Step 2: Convert to fraction form
    142,503.76/213,784.80 = 48,997.36/x
  3. Step 3: Cross multiply
    142,503.76x = 213,784.80 × 48,997.36
  4. Step 4: Simplify right side
    142,503.76x = 10,474,890,808.13
  5. Step 5: Solve for x
    x = 10,474,890,808.13/142,503.76
  6. Step 6: Final answer
    x = 73,506.07

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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.