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Finding the Fourth Proportional to 76,138.65, 105,071.54 and 42,149.48

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Solution

The fourth proportional to 76,138.65, 105,071.54 and 42,149.48 is: 58,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,138.65 : 105,071.54 = 42,149.48 : x
  2. Step 2: Convert to fraction form
    76,138.65/105,071.54 = 42,149.48/x
  3. Step 3: Cross multiply
    76,138.65x = 105,071.54 × 42,149.48
  4. Step 4: Simplify right side
    76,138.65x = 4,428,710,037.69
  5. Step 5: Solve for x
    x = 4,428,710,037.69/76,138.65
  6. Step 6: Final answer
    x = 58,166.39

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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.