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Finding the Fourth Proportional to 185,980.40, 278,981.40 and 52,870.40

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Solution

The fourth proportional to 185,980.40, 278,981.40 and 52,870.40 is: 79,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,980.40 : 278,981.40 = 52,870.40 : x
  2. Step 2: Convert to fraction form
    185,980.40/278,981.40 = 52,870.40/x
  3. Step 3: Cross multiply
    185,980.40x = 278,981.40 × 52,870.40
  4. Step 4: Simplify right side
    185,980.40x = 14,749,858,210.56
  5. Step 5: Solve for x
    x = 14,749,858,210.56/185,980.40
  6. Step 6: Final answer
    x = 79,308.67

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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.