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Finding the Fourth Proportional to 77,849.78, 116,774.60 and 55,706.40

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Solution

The fourth proportional to 77,849.78, 116,774.60 and 55,706.40 is: 83,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,849.78 : 116,774.60 = 55,706.40 : x
  2. Step 2: Convert to fraction form
    77,849.78/116,774.60 = 55,706.40/x
  3. Step 3: Cross multiply
    77,849.78x = 116,774.60 × 55,706.40
  4. Step 4: Simplify right side
    77,849.78x = 6,505,092,298.91
  5. Step 5: Solve for x
    x = 6,505,092,298.91/77,849.78
  6. Step 6: Final answer
    x = 83,559.55

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1.5x scale

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.