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Finding the Fourth Proportional to 91,970.32, 137,843.88 and 65,274.16

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Solution

The fourth proportional to 91,970.32, 137,843.88 and 65,274.16 is: 97,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,970.32 : 137,843.88 = 65,274.16 : x
  2. Step 2: Convert to fraction form
    91,970.32/137,843.88 = 65,274.16/x
  3. Step 3: Cross multiply
    91,970.32x = 137,843.88 × 65,274.16
  4. Step 4: Simplify right side
    91,970.32x = 8,997,643,478.14
  5. Step 5: Solve for x
    x = 8,997,643,478.14/91,970.32
  6. Step 6: Final answer
    x = 97,832.03

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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.