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Finding the Fourth Proportional to 97,477.58, 145,883.70 and 81,700.43

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Solution

The fourth proportional to 97,477.58, 145,883.70 and 81,700.43 is: 122,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,477.58 : 145,883.70 = 81,700.43 : x
  2. Step 2: Convert to fraction form
    97,477.58/145,883.70 = 81,700.43/x
  3. Step 3: Cross multiply
    97,477.58x = 145,883.70 × 81,700.43
  4. Step 4: Simplify right side
    97,477.58x = 11,918,760,290.57
  5. Step 5: Solve for x
    x = 11,918,760,290.57/97,477.58
  6. Step 6: Final answer
    x = 122,271.81

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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.