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Finding the Fourth Proportional to 78,573.93, 108,431.70 and 42,763.94

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Solution

The fourth proportional to 78,573.93, 108,431.70 and 42,763.94 is: 59,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,573.93 : 108,431.70 = 42,763.94 : x
  2. Step 2: Convert to fraction form
    78,573.93/108,431.70 = 42,763.94/x
  3. Step 3: Cross multiply
    78,573.93x = 108,431.70 × 42,763.94
  4. Step 4: Simplify right side
    78,573.93x = 4,636,966,170.74
  5. Step 5: Solve for x
    x = 4,636,966,170.74/78,573.93
  6. Step 6: Final answer
    x = 59,014.05

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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.