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Finding the Fourth Proportional to 77,975.90, 107,606.75 and 42,165.92

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Solution

The fourth proportional to 77,975.90, 107,606.75 and 42,165.92 is: 58,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,975.90 : 107,606.75 = 42,165.92 : x
  2. Step 2: Convert to fraction form
    77,975.90/107,606.75 = 42,165.92/x
  3. Step 3: Cross multiply
    77,975.90x = 107,606.75 × 42,165.92
  4. Step 4: Simplify right side
    77,975.90x = 4,537,336,863.10
  5. Step 5: Solve for x
    x = 4,537,336,863.10/77,975.90
  6. Step 6: Final answer
    x = 58,188.96

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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.