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Finding the Fourth Proportional to 56,530.80, 84,740.40 and 31,582.80

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Solution

The fourth proportional to 56,530.80, 84,740.40 and 31,582.80 is: 47,343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,530.80 : 84,740.40 = 31,582.80 : x
  2. Step 2: Convert to fraction form
    56,530.80/84,740.40 = 31,582.80/x
  3. Step 3: Cross multiply
    56,530.80x = 84,740.40 × 31,582.80
  4. Step 4: Simplify right side
    56,530.80x = 2,676,339,105.12
  5. Step 5: Solve for x
    x = 2,676,339,105.12/56,530.80
  6. Step 6: Final answer
    x = 47,343.03

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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.