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Finding the Fourth Proportional to 75,239.29, 103,837.65 and 42,978.74

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Solution

The fourth proportional to 75,239.29, 103,837.65 and 42,978.74 is: 59,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,239.29 : 103,837.65 = 42,978.74 : x
  2. Step 2: Convert to fraction form
    75,239.29/103,837.65 = 42,978.74/x
  3. Step 3: Cross multiply
    75,239.29x = 103,837.65 × 42,978.74
  4. Step 4: Simplify right side
    75,239.29x = 4,462,810,842.37
  5. Step 5: Solve for x
    x = 4,462,810,842.37/75,239.29
  6. Step 6: Final answer
    x = 59,314.90

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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.