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Finding the Fourth Proportional to 130,818, 196,256.25 and 47,712

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Solution

The fourth proportional to 130,818, 196,256.25 and 47,712 is: 71,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,818 : 196,256.25 = 47,712 : x
  2. Step 2: Convert to fraction form
    130,818/196,256.25 = 47,712/x
  3. Step 3: Cross multiply
    130,818x = 196,256.25 × 47,712
  4. Step 4: Simplify right side
    130,818x = 9,363,778,200
  5. Step 5: Solve for x
    x = 9,363,778,200/130,818
  6. Step 6: Final answer
    x = 71,578.67

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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.