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Finding the Fourth Proportional to 78,465, 117,615.12 and 38,428.80

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Solution

The fourth proportional to 78,465, 117,615.12 and 38,428.80 is: 57,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465 : 117,615.12 = 38,428.80 : x
  2. Step 2: Convert to fraction form
    78,465/117,615.12 = 38,428.80/x
  3. Step 3: Cross multiply
    78,465x = 117,615.12 × 38,428.80
  4. Step 4: Simplify right side
    78,465x = 4,519,807,923.46
  5. Step 5: Solve for x
    x = 4,519,807,923.46/78,465
  6. Step 6: Final answer
    x = 57,602.85

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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.