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Finding the Fourth Proportional to 102,257.60, 153,211.20 and 81,262.40

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Solution

The fourth proportional to 102,257.60, 153,211.20 and 81,262.40 is: 121,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,257.60 : 153,211.20 = 81,262.40 : x
  2. Step 2: Convert to fraction form
    102,257.60/153,211.20 = 81,262.40/x
  3. Step 3: Cross multiply
    102,257.60x = 153,211.20 × 81,262.40
  4. Step 4: Simplify right side
    102,257.60x = 12,450,309,818.88
  5. Step 5: Solve for x
    x = 12,450,309,818.88/102,257.60
  6. Step 6: Final answer
    x = 121,754.37

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1.5x scale

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.