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Finding the Fourth Proportional to 243,138.96, 335,709.51 and 157,148.82

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Solution

The fourth proportional to 243,138.96, 335,709.51 and 157,148.82 is: 216,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,138.96 : 335,709.51 = 157,148.82 : x
  2. Step 2: Convert to fraction form
    243,138.96/335,709.51 = 157,148.82/x
  3. Step 3: Cross multiply
    243,138.96x = 335,709.51 × 157,148.82
  4. Step 4: Simplify right side
    243,138.96x = 52,756,353,359.28
  5. Step 5: Solve for x
    x = 52,756,353,359.28/243,138.96
  6. Step 6: Final answer
    x = 216,980.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.