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Finding the Fourth Proportional to 153,965.70, 230,948.55 and 100,821.60

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Solution

The fourth proportional to 153,965.70, 230,948.55 and 100,821.60 is: 151,232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,965.70 : 230,948.55 = 100,821.60 : x
  2. Step 2: Convert to fraction form
    153,965.70/230,948.55 = 100,821.60/x
  3. Step 3: Cross multiply
    153,965.70x = 230,948.55 × 100,821.60
  4. Step 4: Simplify right side
    153,965.70x = 23,284,602,328.68
  5. Step 5: Solve for x
    x = 23,284,602,328.68/153,965.70
  6. Step 6: Final answer
    x = 151,232.40

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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.