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Finding the Fourth Proportional to 180,578.95, 249,240.42 and 120,152.14

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Solution

The fourth proportional to 180,578.95, 249,240.42 and 120,152.14 is: 165,837.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,578.95 : 249,240.42 = 120,152.14 : x
  2. Step 2: Convert to fraction form
    180,578.95/249,240.42 = 120,152.14/x
  3. Step 3: Cross multiply
    180,578.95x = 249,240.42 × 120,152.14
  4. Step 4: Simplify right side
    180,578.95x = 29,946,769,837.50
  5. Step 5: Solve for x
    x = 29,946,769,837.50/180,578.95
  6. Step 6: Final answer
    x = 165,837.55

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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.