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Finding the Fourth Proportional to 97,147.98, 145,623.54 and 47,185.98

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Solution

The fourth proportional to 97,147.98, 145,623.54 and 47,185.98 is: 70,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,147.98 : 145,623.54 = 47,185.98 : x
  2. Step 2: Convert to fraction form
    97,147.98/145,623.54 = 47,185.98/x
  3. Step 3: Cross multiply
    97,147.98x = 145,623.54 × 47,185.98
  4. Step 4: Simplify right side
    97,147.98x = 6,871,389,445.97
  5. Step 5: Solve for x
    x = 6,871,389,445.97/97,147.98
  6. Step 6: Final answer
    x = 70,731.16

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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.