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Finding the Fourth Proportional to 209,892.32, 314,754.96 and 76,742.24

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Solution

The fourth proportional to 209,892.32, 314,754.96 and 76,742.24 is: 115,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,892.32 : 314,754.96 = 76,742.24 : x
  2. Step 2: Convert to fraction form
    209,892.32/314,754.96 = 76,742.24/x
  3. Step 3: Cross multiply
    209,892.32x = 314,754.96 × 76,742.24
  4. Step 4: Simplify right side
    209,892.32x = 24,155,000,681.51
  5. Step 5: Solve for x
    x = 24,155,000,681.51/209,892.32
  6. Step 6: Final answer
    x = 115,082.82

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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.