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Finding the Fourth Proportional to 291,438.16, 437,158.05 and 81,076.30

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Solution

The fourth proportional to 291,438.16, 437,158.05 and 81,076.30 is: 121,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,438.16 : 437,158.05 = 81,076.30 : x
  2. Step 2: Convert to fraction form
    291,438.16/437,158.05 = 81,076.30/x
  3. Step 3: Cross multiply
    291,438.16x = 437,158.05 × 81,076.30
  4. Step 4: Simplify right side
    291,438.16x = 35,443,154,618.04
  5. Step 5: Solve for x
    x = 35,443,154,618.04/291,438.16
  6. Step 6: Final answer
    x = 121,614.67

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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.