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Finding the Fourth Proportional to 77,958.93, 107,583.32 and 42,148.94

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Solution

The fourth proportional to 77,958.93, 107,583.32 and 42,148.94 is: 58,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,958.93 : 107,583.32 = 42,148.94 : x
  2. Step 2: Convert to fraction form
    77,958.93/107,583.32 = 42,148.94/x
  3. Step 3: Cross multiply
    77,958.93x = 107,583.32 × 42,148.94
  4. Step 4: Simplify right side
    77,958.93x = 4,534,522,151.02
  5. Step 5: Solve for x
    x = 4,534,522,151.02/77,958.93
  6. Step 6: Final answer
    x = 58,165.53

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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.