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Finding the Fourth Proportional to 112,898.40, 169,414.80 and 42,784.80

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Solution

The fourth proportional to 112,898.40, 169,414.80 and 42,784.80 is: 64,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,898.40 : 169,414.80 = 42,784.80 : x
  2. Step 2: Convert to fraction form
    112,898.40/169,414.80 = 42,784.80/x
  3. Step 3: Cross multiply
    112,898.40x = 169,414.80 × 42,784.80
  4. Step 4: Simplify right side
    112,898.40x = 7,248,378,335.04
  5. Step 5: Solve for x
    x = 7,248,378,335.04/112,898.40
  6. Step 6: Final answer
    x = 64,202.67

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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.