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Finding the Fourth Proportional to 130,809.60, 196,228.80 and 47,721.60

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Solution

The fourth proportional to 130,809.60, 196,228.80 and 47,721.60 is: 71,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,809.60 : 196,228.80 = 47,721.60 : x
  2. Step 2: Convert to fraction form
    130,809.60/196,228.80 = 47,721.60/x
  3. Step 3: Cross multiply
    130,809.60x = 196,228.80 × 47,721.60
  4. Step 4: Simplify right side
    130,809.60x = 9,364,352,302.08
  5. Step 5: Solve for x
    x = 9,364,352,302.08/130,809.60
  6. Step 6: Final answer
    x = 71,587.65

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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.