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Finding the Fourth Proportional to 145,005.84, 217,499.04 and 39,816

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Solution

The fourth proportional to 145,005.84, 217,499.04 and 39,816 is: 59,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,005.84 : 217,499.04 = 39,816 : x
  2. Step 2: Convert to fraction form
    145,005.84/217,499.04 = 39,816/x
  3. Step 3: Cross multiply
    145,005.84x = 217,499.04 × 39,816
  4. Step 4: Simplify right side
    145,005.84x = 8,659,941,776.64
  5. Step 5: Solve for x
    x = 8,659,941,776.64/145,005.84
  6. Step 6: Final answer
    x = 59,721.33

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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.