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Finding the Fourth Proportional to 189,980.16, 284,999.40 and 65,292

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Solution

The fourth proportional to 189,980.16, 284,999.40 and 65,292 is: 97,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,980.16 : 284,999.40 = 65,292 : x
  2. Step 2: Convert to fraction form
    189,980.16/284,999.40 = 65,292/x
  3. Step 3: Cross multiply
    189,980.16x = 284,999.40 × 65,292
  4. Step 4: Simplify right side
    189,980.16x = 18,608,180,824.80
  5. Step 5: Solve for x
    x = 18,608,180,824.80/189,980.16
  6. Step 6: Final answer
    x = 97,948.02

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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.