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Finding the Fourth Proportional to 180,486.68, 249,069.96 and 99,917.60

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Solution

The fourth proportional to 180,486.68, 249,069.96 and 99,917.60 is: 137,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,486.68 : 249,069.96 = 99,917.60 : x
  2. Step 2: Convert to fraction form
    180,486.68/249,069.96 = 99,917.60/x
  3. Step 3: Cross multiply
    180,486.68x = 249,069.96 × 99,917.60
  4. Step 4: Simplify right side
    180,486.68x = 24,886,471,389.95
  5. Step 5: Solve for x
    x = 24,886,471,389.95/180,486.68
  6. Step 6: Final answer
    x = 137,885.37

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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.