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Finding the Fourth Proportional to 98,685.94, 147,897.69 and 85,476.46

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Solution

The fourth proportional to 98,685.94, 147,897.69 and 85,476.46 is: 128,101.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,685.94 : 147,897.69 = 85,476.46 : x
  2. Step 2: Convert to fraction form
    98,685.94/147,897.69 = 85,476.46/x
  3. Step 3: Cross multiply
    98,685.94x = 147,897.69 × 85,476.46
  4. Step 4: Simplify right side
    98,685.94x = 12,641,770,983.38
  5. Step 5: Solve for x
    x = 12,641,770,983.38/98,685.94
  6. Step 6: Final answer
    x = 128,101.03

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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.