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Finding the Fourth Proportional to 189,641.76, 261,695.52 and 109,056.48

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Solution

The fourth proportional to 189,641.76, 261,695.52 and 109,056.48 is: 150,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,641.76 : 261,695.52 = 109,056.48 : x
  2. Step 2: Convert to fraction form
    189,641.76/261,695.52 = 109,056.48/x
  3. Step 3: Cross multiply
    189,641.76x = 261,695.52 × 109,056.48
  4. Step 4: Simplify right side
    189,641.76x = 28,539,592,242.97
  5. Step 5: Solve for x
    x = 28,539,592,242.97/189,641.76
  6. Step 6: Final answer
    x = 150,492.13

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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.