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Finding the Fourth Proportional to 208,008.47, 312,059.69 and 65,862.38

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Solution

The fourth proportional to 208,008.47, 312,059.69 and 65,862.38 is: 98,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,008.47 : 312,059.69 = 65,862.38 : x
  2. Step 2: Convert to fraction form
    208,008.47/312,059.69 = 65,862.38/x
  3. Step 3: Cross multiply
    208,008.47x = 312,059.69 × 65,862.38
  4. Step 4: Simplify right side
    208,008.47x = 20,552,994,583.28
  5. Step 5: Solve for x
    x = 20,552,994,583.28/208,008.47
  6. Step 6: Final answer
    x = 98,808.45

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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.