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Finding the Fourth Proportional to 205,049.68, 307,574.65 and 70,114.74

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Solution

The fourth proportional to 205,049.68, 307,574.65 and 70,114.74 is: 105,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,049.68 : 307,574.65 = 70,114.74 : x
  2. Step 2: Convert to fraction form
    205,049.68/307,574.65 = 70,114.74/x
  3. Step 3: Cross multiply
    205,049.68x = 307,574.65 × 70,114.74
  4. Step 4: Simplify right side
    205,049.68x = 21,565,517,712.21
  5. Step 5: Solve for x
    x = 21,565,517,712.21/205,049.68
  6. Step 6: Final answer
    x = 105,172.16

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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.