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Finding the Fourth Proportional to 139,296.63, 208,980.29 and 64,470.66

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Solution

The fourth proportional to 139,296.63, 208,980.29 and 64,470.66 is: 96,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,296.63 : 208,980.29 = 64,470.66 : x
  2. Step 2: Convert to fraction form
    139,296.63/208,980.29 = 64,470.66/x
  3. Step 3: Cross multiply
    139,296.63x = 208,980.29 × 64,470.66
  4. Step 4: Simplify right side
    139,296.63x = 13,473,097,223.29
  5. Step 5: Solve for x
    x = 13,473,097,223.29/139,296.63
  6. Step 6: Final answer
    x = 96,722.35

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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.