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Finding the Fourth Proportional to 180,562.37, 249,175.85 and 99,989.80

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Solution

The fourth proportional to 180,562.37, 249,175.85 and 99,989.80 is: 137,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,562.37 : 249,175.85 = 99,989.80 : x
  2. Step 2: Convert to fraction form
    180,562.37/249,175.85 = 99,989.80/x
  3. Step 3: Cross multiply
    180,562.37x = 249,175.85 × 99,989.80
  4. Step 4: Simplify right side
    180,562.37x = 24,915,042,533.42
  5. Step 5: Solve for x
    x = 24,915,042,533.42/180,562.37
  6. Step 6: Final answer
    x = 137,985.80

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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.