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Finding the Fourth Proportional to 163,409.76, 245,114.64 and 142,881.12

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Solution

The fourth proportional to 163,409.76, 245,114.64 and 142,881.12 is: 214,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,409.76 : 245,114.64 = 142,881.12 : x
  2. Step 2: Convert to fraction form
    163,409.76/245,114.64 = 142,881.12/x
  3. Step 3: Cross multiply
    163,409.76x = 245,114.64 × 142,881.12
  4. Step 4: Simplify right side
    163,409.76x = 35,022,254,291.60
  5. Step 5: Solve for x
    x = 35,022,254,291.60/163,409.76
  6. Step 6: Final answer
    x = 214,321.68

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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.