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Finding the Fourth Proportional to 97,147.86, 145,494.99 and 74,783.78

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Solution

The fourth proportional to 97,147.86, 145,494.99 and 74,783.78 is: 112,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,147.86 : 145,494.99 = 74,783.78 : x
  2. Step 2: Convert to fraction form
    97,147.86/145,494.99 = 74,783.78/x
  3. Step 3: Cross multiply
    97,147.86x = 145,494.99 × 74,783.78
  4. Step 4: Simplify right side
    97,147.86x = 10,880,665,323.26
  5. Step 5: Solve for x
    x = 10,880,665,323.26/97,147.86
  6. Step 6: Final answer
    x = 112,001.08

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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.