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Finding the Fourth Proportional to 227,730.79, 314,309.87 and 135,856.14

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Solution

The fourth proportional to 227,730.79, 314,309.87 and 135,856.14 is: 187,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,730.79 : 314,309.87 = 135,856.14 : x
  2. Step 2: Convert to fraction form
    227,730.79/314,309.87 = 135,856.14/x
  3. Step 3: Cross multiply
    227,730.79x = 314,309.87 × 135,856.14
  4. Step 4: Simplify right side
    227,730.79x = 42,700,924,353.62
  5. Step 5: Solve for x
    x = 42,700,924,353.62/227,730.79
  6. Step 6: Final answer
    x = 187,506.15

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1.5x scale

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.