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Finding the Fourth Proportional to 165,159.36, 247,651.56 and 65,315.52

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Solution

The fourth proportional to 165,159.36, 247,651.56 and 65,315.52 is: 97,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,159.36 : 247,651.56 = 65,315.52 : x
  2. Step 2: Convert to fraction form
    165,159.36/247,651.56 = 65,315.52/x
  3. Step 3: Cross multiply
    165,159.36x = 247,651.56 × 65,315.52
  4. Step 4: Simplify right side
    165,159.36x = 16,175,490,420.21
  5. Step 5: Solve for x
    x = 16,175,490,420.21/165,159.36
  6. Step 6: Final answer
    x = 97,938.68

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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.