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Finding the Fourth Proportional to 78,578.88, 108,437.34 and 42,769.68

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Solution

The fourth proportional to 78,578.88, 108,437.34 and 42,769.68 is: 59,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,578.88 : 108,437.34 = 42,769.68 : x
  2. Step 2: Convert to fraction form
    78,578.88/108,437.34 = 42,769.68/x
  3. Step 3: Cross multiply
    78,578.88x = 108,437.34 × 42,769.68
  4. Step 4: Simplify right side
    78,578.88x = 4,637,830,331.85
  5. Step 5: Solve for x
    x = 4,637,830,331.85/78,578.88
  6. Step 6: Final answer
    x = 59,021.33

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1.5x scale

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.