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Finding the Fourth Proportional to 65,196, 89,970.48 and 35,388

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Solution

The fourth proportional to 65,196, 89,970.48 and 35,388 is: 48,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196 : 89,970.48 = 35,388 : x
  2. Step 2: Convert to fraction form
    65,196/89,970.48 = 35,388/x
  3. Step 3: Cross multiply
    65,196x = 89,970.48 × 35,388
  4. Step 4: Simplify right side
    65,196x = 3,183,875,346.24
  5. Step 5: Solve for x
    x = 3,183,875,346.24/65,196
  6. Step 6: Final answer
    x = 48,835.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.