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Finding the Fourth Proportional to 98,775.75, 148,128.57 and 35,578.92

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Solution

The fourth proportional to 98,775.75, 148,128.57 and 35,578.92 is: 53,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,775.75 : 148,128.57 = 35,578.92 : x
  2. Step 2: Convert to fraction form
    98,775.75/148,128.57 = 35,578.92/x
  3. Step 3: Cross multiply
    98,775.75x = 148,128.57 × 35,578.92
  4. Step 4: Simplify right side
    98,775.75x = 5,270,254,541.74
  5. Step 5: Solve for x
    x = 5,270,254,541.74/98,775.75
  6. Step 6: Final answer
    x = 53,355.75

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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.