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Finding the Fourth Proportional to 109,152, 163,728.08 and 43,534.08

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Solution

The fourth proportional to 109,152, 163,728.08 and 43,534.08 is: 65,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,152 : 163,728.08 = 43,534.08 : x
  2. Step 2: Convert to fraction form
    109,152/163,728.08 = 43,534.08/x
  3. Step 3: Cross multiply
    109,152x = 163,728.08 × 43,534.08
  4. Step 4: Simplify right side
    109,152x = 7,127,751,332.97
  5. Step 5: Solve for x
    x = 7,127,751,332.97/109,152
  6. Step 6: Final answer
    x = 65,301.15

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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.