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Finding the Fourth Proportional to 276,815.19, 415,223.04 and 77,140.89

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Solution

The fourth proportional to 276,815.19, 415,223.04 and 77,140.89 is: 115,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,815.19 : 415,223.04 = 77,140.89 : x
  2. Step 2: Convert to fraction form
    276,815.19/415,223.04 = 77,140.89/x
  3. Step 3: Cross multiply
    276,815.19x = 415,223.04 × 77,140.89
  4. Step 4: Simplify right side
    276,815.19x = 32,030,674,854.11
  5. Step 5: Solve for x
    x = 32,030,674,854.11/276,815.19
  6. Step 6: Final answer
    x = 115,711.41

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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.