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Finding the Fourth Proportional to 78,289.47, 117,283.02 and 46,724.70

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Solution

The fourth proportional to 78,289.47, 117,283.02 and 46,724.70 is: 69,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,289.47 : 117,283.02 = 46,724.70 : x
  2. Step 2: Convert to fraction form
    78,289.47/117,283.02 = 46,724.70/x
  3. Step 3: Cross multiply
    78,289.47x = 117,283.02 × 46,724.70
  4. Step 4: Simplify right side
    78,289.47x = 5,480,013,924.59
  5. Step 5: Solve for x
    x = 5,480,013,924.59/78,289.47
  6. Step 6: Final answer
    x = 69,996.82

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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.