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Finding the Fourth Proportional to 109,059.20, 163,502.40 and 59,811.20

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Solution

The fourth proportional to 109,059.20, 163,502.40 and 59,811.20 is: 89,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,059.20 : 163,502.40 = 59,811.20 : x
  2. Step 2: Convert to fraction form
    109,059.20/163,502.40 = 59,811.20/x
  3. Step 3: Cross multiply
    109,059.20x = 163,502.40 × 59,811.20
  4. Step 4: Simplify right side
    109,059.20x = 9,779,274,746.88
  5. Step 5: Solve for x
    x = 9,779,274,746.88/109,059.20
  6. Step 6: Final answer
    x = 89,669.42

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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.