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Finding the Fourth Proportional to 97,129.94, 145,700.78 and 40,913.91

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Solution

The fourth proportional to 97,129.94, 145,700.78 and 40,913.91 is: 61,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,129.94 : 145,700.78 = 40,913.91 : x
  2. Step 2: Convert to fraction form
    97,129.94/145,700.78 = 40,913.91/x
  3. Step 3: Cross multiply
    97,129.94x = 145,700.78 × 40,913.91
  4. Step 4: Simplify right side
    97,129.94x = 5,961,188,395.28
  5. Step 5: Solve for x
    x = 5,961,188,395.28/97,129.94
  6. Step 6: Final answer
    x = 61,373.34

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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.