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Finding the Fourth Proportional to 135,686, 203,547.52 and 46,915.66

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Solution

The fourth proportional to 135,686, 203,547.52 and 46,915.66 is: 70,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,686 : 203,547.52 = 46,915.66 : x
  2. Step 2: Convert to fraction form
    135,686/203,547.52 = 46,915.66/x
  3. Step 3: Cross multiply
    135,686x = 203,547.52 × 46,915.66
  4. Step 4: Simplify right side
    135,686x = 9,549,566,242.16
  5. Step 5: Solve for x
    x = 9,549,566,242.16/135,686
  6. Step 6: Final answer
    x = 70,379.89

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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.