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Finding the Fourth Proportional to 100,905.84, 151,125.48 and 97,406.64

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Solution

The fourth proportional to 100,905.84, 151,125.48 and 97,406.64 is: 145,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,905.84 : 151,125.48 = 97,406.64 : x
  2. Step 2: Convert to fraction form
    100,905.84/151,125.48 = 97,406.64/x
  3. Step 3: Cross multiply
    100,905.84x = 151,125.48 × 97,406.64
  4. Step 4: Simplify right side
    100,905.84x = 14,720,625,225.19
  5. Step 5: Solve for x
    x = 14,720,625,225.19/100,905.84
  6. Step 6: Final answer
    x = 145,884.77

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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.