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Finding the Fourth Proportional to 145,894.30, 201,500.21 and 98,064.61

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Solution

The fourth proportional to 145,894.30, 201,500.21 and 98,064.61 is: 135,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,894.30 : 201,500.21 = 98,064.61 : x
  2. Step 2: Convert to fraction form
    145,894.30/201,500.21 = 98,064.61/x
  3. Step 3: Cross multiply
    145,894.30x = 201,500.21 × 98,064.61
  4. Step 4: Simplify right side
    145,894.30x = 19,760,039,508.57
  5. Step 5: Solve for x
    x = 19,760,039,508.57/145,894.30
  6. Step 6: Final answer
    x = 135,440.79

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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.