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Finding the Fourth Proportional to 144,005.10, 216,007.65 and 65,121.90

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Solution

The fourth proportional to 144,005.10, 216,007.65 and 65,121.90 is: 97,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,005.10 : 216,007.65 = 65,121.90 : x
  2. Step 2: Convert to fraction form
    144,005.10/216,007.65 = 65,121.90/x
  3. Step 3: Cross multiply
    144,005.10x = 216,007.65 × 65,121.90
  4. Step 4: Simplify right side
    144,005.10x = 14,066,828,582.54
  5. Step 5: Solve for x
    x = 14,066,828,582.54/144,005.10
  6. Step 6: Final answer
    x = 97,682.85

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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.