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Finding the Fourth Proportional to 163,345.92, 225,319.64 and 102,811.47

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Solution

The fourth proportional to 163,345.92, 225,319.64 and 102,811.47 is: 141,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,345.92 : 225,319.64 = 102,811.47 : x
  2. Step 2: Convert to fraction form
    163,345.92/225,319.64 = 102,811.47/x
  3. Step 3: Cross multiply
    163,345.92x = 225,319.64 × 102,811.47
  4. Step 4: Simplify right side
    163,345.92x = 23,165,443,895.00
  5. Step 5: Solve for x
    x = 23,165,443,895.00/163,345.92
  6. Step 6: Final answer
    x = 141,818.32

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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.