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Finding the Fourth Proportional to 205,302.15, 307,964.16 and 65,071.71

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Solution

The fourth proportional to 205,302.15, 307,964.16 and 65,071.71 is: 97,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,302.15 : 307,964.16 = 65,071.71 : x
  2. Step 2: Convert to fraction form
    205,302.15/307,964.16 = 65,071.71/x
  3. Step 3: Cross multiply
    205,302.15x = 307,964.16 × 65,071.71
  4. Step 4: Simplify right side
    205,302.15x = 20,039,754,509.91
  5. Step 5: Solve for x
    x = 20,039,754,509.91/205,302.15
  6. Step 6: Final answer
    x = 97,611.03

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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.