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Finding the Fourth Proportional to 103,615.65, 142,989.81 and 61,176.90

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Solution

The fourth proportional to 103,615.65, 142,989.81 and 61,176.90 is: 84,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,615.65 : 142,989.81 = 61,176.90 : x
  2. Step 2: Convert to fraction form
    103,615.65/142,989.81 = 61,176.90/x
  3. Step 3: Cross multiply
    103,615.65x = 142,989.81 × 61,176.90
  4. Step 4: Simplify right side
    103,615.65x = 8,747,673,307.39
  5. Step 5: Solve for x
    x = 8,747,673,307.39/103,615.65
  6. Step 6: Final answer
    x = 84,424.25

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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.