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Finding the Fourth Proportional to 130,956, 196,438.86 and 42,210.78

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Solution

The fourth proportional to 130,956, 196,438.86 and 42,210.78 is: 63,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,956 : 196,438.86 = 42,210.78 : x
  2. Step 2: Convert to fraction form
    130,956/196,438.86 = 42,210.78/x
  3. Step 3: Cross multiply
    130,956x = 196,438.86 × 42,210.78
  4. Step 4: Simplify right side
    130,956x = 8,291,837,502.91
  5. Step 5: Solve for x
    x = 8,291,837,502.91/130,956
  6. Step 6: Final answer
    x = 63,317.74

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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.