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Finding the Fourth Proportional to 78,585.80, 108,446.24 and 42,774.89

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Solution

The fourth proportional to 78,585.80, 108,446.24 and 42,774.89 is: 59,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,585.80 : 108,446.24 = 42,774.89 : x
  2. Step 2: Convert to fraction form
    78,585.80/108,446.24 = 42,774.89/x
  3. Step 3: Cross multiply
    78,585.80x = 108,446.24 × 42,774.89
  4. Step 4: Simplify right side
    78,585.80x = 4,638,775,551.62
  5. Step 5: Solve for x
    x = 4,638,775,551.62/78,585.80
  6. Step 6: Final answer
    x = 59,028.17

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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.