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Finding the Fourth Proportional to 213,807.60, 320,565.60 and 101,541.60

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Solution

The fourth proportional to 213,807.60, 320,565.60 and 101,541.60 is: 152,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,807.60 : 320,565.60 = 101,541.60 : x
  2. Step 2: Convert to fraction form
    213,807.60/320,565.60 = 101,541.60/x
  3. Step 3: Cross multiply
    213,807.60x = 320,565.60 × 101,541.60
  4. Step 4: Simplify right side
    213,807.60x = 32,550,743,928.96
  5. Step 5: Solve for x
    x = 32,550,743,928.96/213,807.60
  6. Step 6: Final answer
    x = 152,243.16

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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.