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Finding the Fourth Proportional to 98,466.57, 147,698.78 and 66,798.20

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Solution

The fourth proportional to 98,466.57, 147,698.78 and 66,798.20 is: 100,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,466.57 : 147,698.78 = 66,798.20 : x
  2. Step 2: Convert to fraction form
    98,466.57/147,698.78 = 66,798.20/x
  3. Step 3: Cross multiply
    98,466.57x = 147,698.78 × 66,798.20
  4. Step 4: Simplify right side
    98,466.57x = 9,866,012,681.45
  5. Step 5: Solve for x
    x = 9,866,012,681.45/98,466.57
  6. Step 6: Final answer
    x = 100,196.57

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1.5x scale

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.