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Finding the Fourth Proportional to 56,390.76, 84,421.68 and 48,871.56

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Solution

The fourth proportional to 56,390.76, 84,421.68 and 48,871.56 is: 73,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,390.76 : 84,421.68 = 48,871.56 : x
  2. Step 2: Convert to fraction form
    56,390.76/84,421.68 = 48,871.56/x
  3. Step 3: Cross multiply
    56,390.76x = 84,421.68 × 48,871.56
  4. Step 4: Simplify right side
    56,390.76x = 4,125,819,199.42
  5. Step 5: Solve for x
    x = 4,125,819,199.42/56,390.76
  6. Step 6: Final answer
    x = 73,164.81

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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.