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Finding the Fourth Proportional to 208,005.66, 312,055.47 and 65,859.57

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Solution

The fourth proportional to 208,005.66, 312,055.47 and 65,859.57 is: 98,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,005.66 : 312,055.47 = 65,859.57 : x
  2. Step 2: Convert to fraction form
    208,005.66/312,055.47 = 65,859.57/x
  3. Step 3: Cross multiply
    208,005.66x = 312,055.47 × 65,859.57
  4. Step 4: Simplify right side
    208,005.66x = 20,551,839,070.35
  5. Step 5: Solve for x
    x = 20,551,839,070.35/208,005.66
  6. Step 6: Final answer
    x = 98,804.23

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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.