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Finding the Fourth Proportional to 145,863.90, 218,795.76 and 112,632.48

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Solution

The fourth proportional to 145,863.90, 218,795.76 and 112,632.48 is: 168,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,863.90 : 218,795.76 = 112,632.48 : x
  2. Step 2: Convert to fraction form
    145,863.90/218,795.76 = 112,632.48/x
  3. Step 3: Cross multiply
    145,863.90x = 218,795.76 × 112,632.48
  4. Step 4: Simplify right side
    145,863.90x = 24,643,509,062.28
  5. Step 5: Solve for x
    x = 24,643,509,062.28/145,863.90
  6. Step 6: Final answer
    x = 168,948.65

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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.