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Finding the Fourth Proportional to 55,588.16, 83,309.92 and 42,392

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Solution

The fourth proportional to 55,588.16, 83,309.92 and 42,392 is: 63,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,588.16 : 83,309.92 = 42,392 : x
  2. Step 2: Convert to fraction form
    55,588.16/83,309.92 = 42,392/x
  3. Step 3: Cross multiply
    55,588.16x = 83,309.92 × 42,392
  4. Step 4: Simplify right side
    55,588.16x = 3,531,674,128.64
  5. Step 5: Solve for x
    x = 3,531,674,128.64/55,588.16
  6. Step 6: Final answer
    x = 63,532.85

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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.