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Finding the Fourth Proportional to 78,274.00, 117,428.01 and 25,681.51

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Solution

The fourth proportional to 78,274.00, 117,428.01 and 25,681.51 is: 38,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,274.00 : 117,428.01 = 25,681.51 : x
  2. Step 2: Convert to fraction form
    78,274.00/117,428.01 = 25,681.51/x
  3. Step 3: Cross multiply
    78,274.00x = 117,428.01 × 25,681.51
  4. Step 4: Simplify right side
    78,274.00x = 3,015,727,897.55
  5. Step 5: Solve for x
    x = 3,015,727,897.55/78,274.00
  6. Step 6: Final answer
    x = 38,527.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.