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Finding the Fourth Proportional to 76,658, 105,788.16 and 42,663.92

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Solution

The fourth proportional to 76,658, 105,788.16 and 42,663.92 is: 58,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,658 : 105,788.16 = 42,663.92 : x
  2. Step 2: Convert to fraction form
    76,658/105,788.16 = 42,663.92/x
  3. Step 3: Cross multiply
    76,658x = 105,788.16 × 42,663.92
  4. Step 4: Simplify right side
    76,658x = 4,513,337,595.19
  5. Step 5: Solve for x
    x = 4,513,337,595.19/76,658
  6. Step 6: Final answer
    x = 58,876.28

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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.