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Finding the Fourth Proportional to 75,129.58, 103,678.86 and 46,835.38

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Solution

The fourth proportional to 75,129.58, 103,678.86 and 46,835.38 is: 64,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,129.58 : 103,678.86 = 46,835.38 : x
  2. Step 2: Convert to fraction form
    75,129.58/103,678.86 = 46,835.38/x
  3. Step 3: Cross multiply
    75,129.58x = 103,678.86 × 46,835.38
  4. Step 4: Simplify right side
    75,129.58x = 4,855,838,806.07
  5. Step 5: Solve for x
    x = 4,855,838,806.07/75,129.58
  6. Step 6: Final answer
    x = 64,632.85

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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.