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Finding the Fourth Proportional to 78,777.20, 108,713.84 and 42,967.22

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Solution

The fourth proportional to 78,777.20, 108,713.84 and 42,967.22 is: 59,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,777.20 : 108,713.84 = 42,967.22 : x
  2. Step 2: Convert to fraction form
    78,777.20/108,713.84 = 42,967.22/x
  3. Step 3: Cross multiply
    78,777.20x = 108,713.84 × 42,967.22
  4. Step 4: Simplify right side
    78,777.20x = 4,671,130,721.92
  5. Step 5: Solve for x
    x = 4,671,130,721.92/78,777.20
  6. Step 6: Final answer
    x = 59,295.46

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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.