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Finding the Fourth Proportional to 97,057.96, 145,611.10 and 77,142.59

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Solution

The fourth proportional to 97,057.96, 145,611.10 and 77,142.59 is: 115,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,057.96 : 145,611.10 = 77,142.59 : x
  2. Step 2: Convert to fraction form
    97,057.96/145,611.10 = 77,142.59/x
  3. Step 3: Cross multiply
    97,057.96x = 145,611.10 × 77,142.59
  4. Step 4: Simplify right side
    97,057.96x = 11,232,817,301.16
  5. Step 5: Solve for x
    x = 11,232,817,301.16/97,057.96
  6. Step 6: Final answer
    x = 115,733.09

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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.