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Finding the Fourth Proportional to 90,782.96, 136,178.76 and 28,454

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Solution

The fourth proportional to 90,782.96, 136,178.76 and 28,454 is: 42,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,782.96 : 136,178.76 = 28,454 : x
  2. Step 2: Convert to fraction form
    90,782.96/136,178.76 = 28,454/x
  3. Step 3: Cross multiply
    90,782.96x = 136,178.76 × 28,454
  4. Step 4: Simplify right side
    90,782.96x = 3,874,830,437.04
  5. Step 5: Solve for x
    x = 3,874,830,437.04/90,782.96
  6. Step 6: Final answer
    x = 42,682.35

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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.