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Finding the Fourth Proportional to 107,003.61, 147,664.69 and 61,681.21

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Solution

The fourth proportional to 107,003.61, 147,664.69 and 61,681.21 is: 85,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,003.61 : 147,664.69 = 61,681.21 : x
  2. Step 2: Convert to fraction form
    107,003.61/147,664.69 = 61,681.21/x
  3. Step 3: Cross multiply
    107,003.61x = 147,664.69 × 61,681.21
  4. Step 4: Simplify right side
    107,003.61x = 9,108,136,230.11
  5. Step 5: Solve for x
    x = 9,108,136,230.11/107,003.61
  6. Step 6: Final answer
    x = 85,119.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.