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Finding the Fourth Proportional to 72,995.10, 109,492.65 and 65,121.90

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Solution

The fourth proportional to 72,995.10, 109,492.65 and 65,121.90 is: 97,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,995.10 : 109,492.65 = 65,121.90 : x
  2. Step 2: Convert to fraction form
    72,995.10/109,492.65 = 65,121.90/x
  3. Step 3: Cross multiply
    72,995.10x = 109,492.65 × 65,121.90
  4. Step 4: Simplify right side
    72,995.10x = 7,130,369,404.04
  5. Step 5: Solve for x
    x = 7,130,369,404.04/72,995.10
  6. Step 6: Final answer
    x = 97,682.85

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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.