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Finding the Fourth Proportional to 139,097.80, 208,646.70 and 83,801.80

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Solution

The fourth proportional to 139,097.80, 208,646.70 and 83,801.80 is: 125,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,097.80 : 208,646.70 = 83,801.80 : x
  2. Step 2: Convert to fraction form
    139,097.80/208,646.70 = 83,801.80/x
  3. Step 3: Cross multiply
    139,097.80x = 208,646.70 × 83,801.80
  4. Step 4: Simplify right side
    139,097.80x = 17,484,969,024.06
  5. Step 5: Solve for x
    x = 17,484,969,024.06/139,097.80
  6. Step 6: Final answer
    x = 125,702.70

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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.