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Finding the Fourth Proportional to 56,188, 77,532.60 and 31,037.68

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Solution

The fourth proportional to 56,188, 77,532.60 and 31,037.68 is: 42,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,188 : 77,532.60 = 31,037.68 : x
  2. Step 2: Convert to fraction form
    56,188/77,532.60 = 31,037.68/x
  3. Step 3: Cross multiply
    56,188x = 77,532.60 × 31,037.68
  4. Step 4: Simplify right side
    56,188x = 2,406,432,028.37
  5. Step 5: Solve for x
    x = 2,406,432,028.37/56,188
  6. Step 6: Final answer
    x = 42,828.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.