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Finding the Fourth Proportional to 78,098.58, 107,775.90 and 42,288.66

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Solution

The fourth proportional to 78,098.58, 107,775.90 and 42,288.66 is: 58,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,098.58 : 107,775.90 = 42,288.66 : x
  2. Step 2: Convert to fraction form
    78,098.58/107,775.90 = 42,288.66/x
  3. Step 3: Cross multiply
    78,098.58x = 107,775.90 × 42,288.66
  4. Step 4: Simplify right side
    78,098.58x = 4,557,698,391.29
  5. Step 5: Solve for x
    x = 4,557,698,391.29/78,098.58
  6. Step 6: Final answer
    x = 58,358.27

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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.