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Finding the Fourth Proportional to 103,681.68, 155,547.20 and 33,561

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Solution

The fourth proportional to 103,681.68, 155,547.20 and 33,561 is: 50,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,681.68 : 155,547.20 = 33,561 : x
  2. Step 2: Convert to fraction form
    103,681.68/155,547.20 = 33,561/x
  3. Step 3: Cross multiply
    103,681.68x = 155,547.20 × 33,561
  4. Step 4: Simplify right side
    103,681.68x = 5,220,319,579.20
  5. Step 5: Solve for x
    x = 5,220,319,579.20/103,681.68
  6. Step 6: Final answer
    x = 50,349.49

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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.