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Finding the Fourth Proportional to 208,621.91, 312,957.34 and 66,417.40

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Solution

The fourth proportional to 208,621.91, 312,957.34 and 66,417.40 is: 99,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,621.91 : 312,957.34 = 66,417.40 : x
  2. Step 2: Convert to fraction form
    208,621.91/312,957.34 = 66,417.40/x
  3. Step 3: Cross multiply
    208,621.91x = 312,957.34 × 66,417.40
  4. Step 4: Simplify right side
    208,621.91x = 20,785,813,058.87
  5. Step 5: Solve for x
    x = 20,785,813,058.87/208,621.91
  6. Step 6: Final answer
    x = 99,633.89

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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.