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Finding the Fourth Proportional to 98,698.80, 148,121.10 and 65,407.80

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Solution

The fourth proportional to 98,698.80, 148,121.10 and 65,407.80 is: 98,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,698.80 : 148,121.10 = 65,407.80 : x
  2. Step 2: Convert to fraction form
    98,698.80/148,121.10 = 65,407.80/x
  3. Step 3: Cross multiply
    98,698.80x = 148,121.10 × 65,407.80
  4. Step 4: Simplify right side
    98,698.80x = 9,688,275,284.58
  5. Step 5: Solve for x
    x = 9,688,275,284.58/98,698.80
  6. Step 6: Final answer
    x = 98,160.01

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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.