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Finding the Fourth Proportional to 137,565.04, 206,347.64 and 90,807

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Solution

The fourth proportional to 137,565.04, 206,347.64 and 90,807 is: 136,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,565.04 : 206,347.64 = 90,807 : x
  2. Step 2: Convert to fraction form
    137,565.04/206,347.64 = 90,807/x
  3. Step 3: Cross multiply
    137,565.04x = 206,347.64 × 90,807
  4. Step 4: Simplify right side
    137,565.04x = 18,737,810,145.48
  5. Step 5: Solve for x
    x = 18,737,810,145.48/137,565.04
  6. Step 6: Final answer
    x = 136,210.55

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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.