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Finding the Fourth Proportional to 152,071.20, 228,106.80 and 89,863.20

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Solution

The fourth proportional to 152,071.20, 228,106.80 and 89,863.20 is: 134,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,071.20 : 228,106.80 = 89,863.20 : x
  2. Step 2: Convert to fraction form
    152,071.20/228,106.80 = 89,863.20/x
  3. Step 3: Cross multiply
    152,071.20x = 228,106.80 × 89,863.20
  4. Step 4: Simplify right side
    152,071.20x = 20,498,406,989.76
  5. Step 5: Solve for x
    x = 20,498,406,989.76/152,071.20
  6. Step 6: Final answer
    x = 134,794.80

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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.