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Finding the Fourth Proportional to 209,574.98, 314,384.85 and 89,644.34

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Solution

The fourth proportional to 209,574.98, 314,384.85 and 89,644.34 is: 134,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,574.98 : 314,384.85 = 89,644.34 : x
  2. Step 2: Convert to fraction form
    209,574.98/314,384.85 = 89,644.34/x
  3. Step 3: Cross multiply
    209,574.98x = 314,384.85 × 89,644.34
  4. Step 4: Simplify right side
    209,574.98x = 28,182,820,812.32
  5. Step 5: Solve for x
    x = 28,182,820,812.32/209,574.98
  6. Step 6: Final answer
    x = 134,476.08

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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.