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Finding the Fourth Proportional to 109,116, 163,712.40 and 53,750.88

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Solution

The fourth proportional to 109,116, 163,712.40 and 53,750.88 is: 80,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,116 : 163,712.40 = 53,750.88 : x
  2. Step 2: Convert to fraction form
    109,116/163,712.40 = 53,750.88/x
  3. Step 3: Cross multiply
    109,116x = 163,712.40 × 53,750.88
  4. Step 4: Simplify right side
    109,116x = 8,799,685,566.91
  5. Step 5: Solve for x
    x = 8,799,685,566.91/109,116
  6. Step 6: Final answer
    x = 80,645.24

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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.