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Finding the Fourth Proportional to 78,376.74, 108,160.70 and 42,567.45

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Solution

The fourth proportional to 78,376.74, 108,160.70 and 42,567.45 is: 58,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,376.74 : 108,160.70 = 42,567.45 : x
  2. Step 2: Convert to fraction form
    78,376.74/108,160.70 = 42,567.45/x
  3. Step 3: Cross multiply
    78,376.74x = 108,160.70 × 42,567.45
  4. Step 4: Simplify right side
    78,376.74x = 4,604,124,976.38
  5. Step 5: Solve for x
    x = 4,604,124,976.38/78,376.74
  6. Step 6: Final answer
    x = 58,743.51

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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.