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Finding the Fourth Proportional to 144,904.32, 217,403.64 and 70,032.96

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Solution

The fourth proportional to 144,904.32, 217,403.64 and 70,032.96 is: 105,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,904.32 : 217,403.64 = 70,032.96 : x
  2. Step 2: Convert to fraction form
    144,904.32/217,403.64 = 70,032.96/x
  3. Step 3: Cross multiply
    144,904.32x = 217,403.64 × 70,032.96
  4. Step 4: Simplify right side
    144,904.32x = 15,225,420,423.97
  5. Step 5: Solve for x
    x = 15,225,420,423.97/144,904.32
  6. Step 6: Final answer
    x = 105,072.23

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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.