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Finding the Fourth Proportional to 180,906, 249,650.34 and 100,345.92

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Solution

The fourth proportional to 180,906, 249,650.34 and 100,345.92 is: 138,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,906 : 249,650.34 = 100,345.92 : x
  2. Step 2: Convert to fraction form
    180,906/249,650.34 = 100,345.92/x
  3. Step 3: Cross multiply
    180,906x = 249,650.34 × 100,345.92
  4. Step 4: Simplify right side
    180,906x = 25,051,393,045.61
  5. Step 5: Solve for x
    x = 25,051,393,045.61/180,906
  6. Step 6: Final answer
    x = 138,477.40

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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.