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Finding the Fourth Proportional to 145,830.54, 218,983.13 and 90,025.38

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Solution

The fourth proportional to 145,830.54, 218,983.13 and 90,025.38 is: 135,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,830.54 : 218,983.13 = 90,025.38 : x
  2. Step 2: Convert to fraction form
    145,830.54/218,983.13 = 90,025.38/x
  3. Step 3: Cross multiply
    145,830.54x = 218,983.13 × 90,025.38
  4. Step 4: Simplify right side
    145,830.54x = 19,714,039,862.90
  5. Step 5: Solve for x
    x = 19,714,039,862.90/145,830.54
  6. Step 6: Final answer
    x = 135,184.58

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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.