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Finding the Fourth Proportional to 183,948, 275,691.16 and 78,643.20

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Solution

The fourth proportional to 183,948, 275,691.16 and 78,643.20 is: 117,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,948 : 275,691.16 = 78,643.20 : x
  2. Step 2: Convert to fraction form
    183,948/275,691.16 = 78,643.20/x
  3. Step 3: Cross multiply
    183,948x = 275,691.16 × 78,643.20
  4. Step 4: Simplify right side
    183,948x = 21,681,235,034.11
  5. Step 5: Solve for x
    x = 21,681,235,034.11/183,948
  6. Step 6: Final answer
    x = 117,866.11

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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.