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Finding the Fourth Proportional to 78,195.72, 107,972.21 and 72,225.21

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Solution

The fourth proportional to 78,195.72, 107,972.21 and 72,225.21 is: 99,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,195.72 : 107,972.21 = 72,225.21 : x
  2. Step 2: Convert to fraction form
    78,195.72/107,972.21 = 72,225.21/x
  3. Step 3: Cross multiply
    78,195.72x = 107,972.21 × 72,225.21
  4. Step 4: Simplify right side
    78,195.72x = 7,798,315,541.41
  5. Step 5: Solve for x
    x = 7,798,315,541.41/78,195.72
  6. Step 6: Final answer
    x = 99,728.16

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1.5x scale

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.