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Finding the Fourth Proportional to 153,992.40, 230,948.50 and 65,200.20

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Solution

The fourth proportional to 153,992.40, 230,948.50 and 65,200.20 is: 97,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,992.40 : 230,948.50 = 65,200.20 : x
  2. Step 2: Convert to fraction form
    153,992.40/230,948.50 = 65,200.20/x
  3. Step 3: Cross multiply
    153,992.40x = 230,948.50 × 65,200.20
  4. Step 4: Simplify right side
    153,992.40x = 15,057,888,389.70
  5. Step 5: Solve for x
    x = 15,057,888,389.70/153,992.40
  6. Step 6: Final answer
    x = 97,783.32

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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.