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Finding the Fourth Proportional to 209,670.64, 314,357.70 and 67,471.90

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Solution

The fourth proportional to 209,670.64, 314,357.70 and 67,471.90 is: 101,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,670.64 : 314,357.70 = 67,471.90 : x
  2. Step 2: Convert to fraction form
    209,670.64/314,357.70 = 67,471.90/x
  3. Step 3: Cross multiply
    209,670.64x = 314,357.70 × 67,471.90
  4. Step 4: Simplify right side
    209,670.64x = 21,210,311,298.63
  5. Step 5: Solve for x
    x = 21,210,311,298.63/209,670.64
  6. Step 6: Final answer
    x = 101,160.14

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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.