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Finding the Fourth Proportional to 209,677.71, 314,254.13 and 165,128.52

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Solution

The fourth proportional to 209,677.71, 314,254.13 and 165,128.52 is: 247,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,677.71 : 314,254.13 = 165,128.52 : x
  2. Step 2: Convert to fraction form
    209,677.71/314,254.13 = 165,128.52/x
  3. Step 3: Cross multiply
    209,677.71x = 314,254.13 × 165,128.52
  4. Step 4: Simplify right side
    209,677.71x = 51,892,320,672.45
  5. Step 5: Solve for x
    x = 51,892,320,672.45/209,677.71
  6. Step 6: Final answer
    x = 247,486.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.