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Finding the Fourth Proportional to 78,797.25, 108,742.14 and 42,990.66

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Solution

The fourth proportional to 78,797.25, 108,742.14 and 42,990.66 is: 59,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,797.25 : 108,742.14 = 42,990.66 : x
  2. Step 2: Convert to fraction form
    78,797.25/108,742.14 = 42,990.66/x
  3. Step 3: Cross multiply
    78,797.25x = 108,742.14 × 42,990.66
  4. Step 4: Simplify right side
    78,797.25x = 4,674,896,368.41
  5. Step 5: Solve for x
    x = 4,674,896,368.41/78,797.25
  6. Step 6: Final answer
    x = 59,328.17

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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.