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Finding the Fourth Proportional to 153,278.81, 229,919.47 and 53,438.82

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Solution

The fourth proportional to 153,278.81, 229,919.47 and 53,438.82 is: 80,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,278.81 : 229,919.47 = 53,438.82 : x
  2. Step 2: Convert to fraction form
    153,278.81/229,919.47 = 53,438.82/x
  3. Step 3: Cross multiply
    153,278.81x = 229,919.47 × 53,438.82
  4. Step 4: Simplify right side
    153,278.81x = 12,286,625,038.23
  5. Step 5: Solve for x
    x = 12,286,625,038.23/153,278.81
  6. Step 6: Final answer
    x = 80,158.67

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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.