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Finding the Fourth Proportional to 180,458, 249,025.80 and 99,889.04

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Solution

The fourth proportional to 180,458, 249,025.80 and 99,889.04 is: 137,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,458 : 249,025.80 = 99,889.04 : x
  2. Step 2: Convert to fraction form
    180,458/249,025.80 = 99,889.04/x
  3. Step 3: Cross multiply
    180,458x = 249,025.80 × 99,889.04
  4. Step 4: Simplify right side
    180,458x = 24,874,948,097.23
  5. Step 5: Solve for x
    x = 24,874,948,097.23/180,458
  6. Step 6: Final answer
    x = 137,843.42

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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.