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Finding the Fourth Proportional to 76,663.40, 105,795.48 and 42,671.15

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Solution

The fourth proportional to 76,663.40, 105,795.48 and 42,671.15 is: 58,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,663.40 : 105,795.48 = 42,671.15 : x
  2. Step 2: Convert to fraction form
    76,663.40/105,795.48 = 42,671.15/x
  3. Step 3: Cross multiply
    76,663.40x = 105,795.48 × 42,671.15
  4. Step 4: Simplify right side
    76,663.40x = 4,514,415,059.24
  5. Step 5: Solve for x
    x = 4,514,415,059.24/76,663.40
  6. Step 6: Final answer
    x = 58,886.19

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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.