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Finding the Fourth Proportional to 142,402.32, 213,523.53 and 47,582.54

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Solution

The fourth proportional to 142,402.32, 213,523.53 and 47,582.54 is: 71,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,402.32 : 213,523.53 = 47,582.54 : x
  2. Step 2: Convert to fraction form
    142,402.32/213,523.53 = 47,582.54/x
  3. Step 3: Cross multiply
    142,402.32x = 213,523.53 × 47,582.54
  4. Step 4: Simplify right side
    142,402.32x = 10,159,991,461.83
  5. Step 5: Solve for x
    x = 10,159,991,461.83/142,402.32
  6. Step 6: Final answer
    x = 71,347.09

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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.