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Finding the Fourth Proportional to 78,573.78, 108,429.74 and 42,763.03

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Solution

The fourth proportional to 78,573.78, 108,429.74 and 42,763.03 is: 59,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,573.78 : 108,429.74 = 42,763.03 : x
  2. Step 2: Convert to fraction form
    78,573.78/108,429.74 = 42,763.03/x
  3. Step 3: Cross multiply
    78,573.78x = 108,429.74 × 42,763.03
  4. Step 4: Simplify right side
    78,573.78x = 4,636,784,224.51
  5. Step 5: Solve for x
    x = 4,636,784,224.51/78,573.78
  6. Step 6: Final answer
    x = 59,011.85

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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.