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Finding the Fourth Proportional to 145,928.89, 201,382.11 and 78,860.89

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Solution

The fourth proportional to 145,928.89, 201,382.11 and 78,860.89 is: 108,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,928.89 : 201,382.11 = 78,860.89 : x
  2. Step 2: Convert to fraction form
    145,928.89/201,382.11 = 78,860.89/x
  3. Step 3: Cross multiply
    145,928.89x = 201,382.11 × 78,860.89
  4. Step 4: Simplify right side
    145,928.89x = 15,881,172,424.68
  5. Step 5: Solve for x
    x = 15,881,172,424.68/145,928.89
  6. Step 6: Final answer
    x = 108,828.16

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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.