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Finding the Fourth Proportional to 78,675.25, 108,570.48 and 42,865.52

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Solution

The fourth proportional to 78,675.25, 108,570.48 and 42,865.52 is: 59,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,675.25 : 108,570.48 = 42,865.52 : x
  2. Step 2: Convert to fraction form
    78,675.25/108,570.48 = 42,865.52/x
  3. Step 3: Cross multiply
    78,675.25x = 108,570.48 × 42,865.52
  4. Step 4: Simplify right side
    78,675.25x = 4,653,929,988.96
  5. Step 5: Solve for x
    x = 4,653,929,988.96/78,675.25
  6. Step 6: Final answer
    x = 59,153.67

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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.