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Finding the Fourth Proportional to 78,797.41, 108,740.68 and 42,988.17

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Solution

The fourth proportional to 78,797.41, 108,740.68 and 42,988.17 is: 59,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,797.41 : 108,740.68 = 42,988.17 : x
  2. Step 2: Convert to fraction form
    78,797.41/108,740.68 = 42,988.17/x
  3. Step 3: Cross multiply
    78,797.41x = 108,740.68 × 42,988.17
  4. Step 4: Simplify right side
    78,797.41x = 4,674,562,526.40
  5. Step 5: Solve for x
    x = 4,674,562,526.40/78,797.41
  6. Step 6: Final answer
    x = 59,323.81

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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.