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Finding the Fourth Proportional to 180,994.61, 249,772.61 and 100,421.96

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Solution

The fourth proportional to 180,994.61, 249,772.61 and 100,421.96 is: 138,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,994.61 : 249,772.61 = 100,421.96 : x
  2. Step 2: Convert to fraction form
    180,994.61/249,772.61 = 100,421.96/x
  3. Step 3: Cross multiply
    180,994.61x = 249,772.61 × 100,421.96
  4. Step 4: Simplify right side
    180,994.61x = 25,082,654,052.71
  5. Step 5: Solve for x
    x = 25,082,654,052.71/180,994.61
  6. Step 6: Final answer
    x = 138,582.32

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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.