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Finding the Fourth Proportional to 98,002, 147,009.78 and 38,837.68

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Solution

The fourth proportional to 98,002, 147,009.78 and 38,837.68 is: 58,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,002 : 147,009.78 = 38,837.68 : x
  2. Step 2: Convert to fraction form
    98,002/147,009.78 = 38,837.68/x
  3. Step 3: Cross multiply
    98,002x = 147,009.78 × 38,837.68
  4. Step 4: Simplify right side
    98,002x = 5,709,518,792.51
  5. Step 5: Solve for x
    x = 5,709,518,792.51/98,002
  6. Step 6: Final answer
    x = 58,259.21

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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.