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Finding the Fourth Proportional to 180,379.84, 249,024.36 and 108,778

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Solution

The fourth proportional to 180,379.84, 249,024.36 and 108,778 is: 150,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,379.84 : 249,024.36 = 108,778 : x
  2. Step 2: Convert to fraction form
    180,379.84/249,024.36 = 108,778/x
  3. Step 3: Cross multiply
    180,379.84x = 249,024.36 × 108,778
  4. Step 4: Simplify right side
    180,379.84x = 27,088,371,832.08
  5. Step 5: Solve for x
    x = 27,088,371,832.08/180,379.84
  6. Step 6: Final answer
    x = 150,174.05

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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.