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Finding the Fourth Proportional to 55,688.80, 83,533.20 and 14,135.80

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Solution

The fourth proportional to 55,688.80, 83,533.20 and 14,135.80 is: 21,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,688.80 : 83,533.20 = 14,135.80 : x
  2. Step 2: Convert to fraction form
    55,688.80/83,533.20 = 14,135.80/x
  3. Step 3: Cross multiply
    55,688.80x = 83,533.20 × 14,135.80
  4. Step 4: Simplify right side
    55,688.80x = 1,180,808,608.56
  5. Step 5: Solve for x
    x = 1,180,808,608.56/55,688.80
  6. Step 6: Final answer
    x = 21,203.70

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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.