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Finding the Fourth Proportional to 93.06, 139.50 and 52.38

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Solution

The fourth proportional to 93.06, 139.50 and 52.38 is: 78.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.06 : 139.50 = 52.38 : x
  2. Step 2: Convert to fraction form
    93.06/139.50 = 52.38/x
  3. Step 3: Cross multiply
    93.06x = 139.50 × 52.38
  4. Step 4: Simplify right side
    93.06x = 7,307.01
  5. Step 5: Solve for x
    x = 7,307.01/93.06
  6. Step 6: Final answer
    x = 78.52

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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.