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Finding the Fourth Proportional to 137,699.16, 206,406.65 and 57,783.55

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Solution

The fourth proportional to 137,699.16, 206,406.65 and 57,783.55 is: 86,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,699.16 : 206,406.65 = 57,783.55 : x
  2. Step 2: Convert to fraction form
    137,699.16/206,406.65 = 57,783.55/x
  3. Step 3: Cross multiply
    137,699.16x = 206,406.65 × 57,783.55
  4. Step 4: Simplify right side
    137,699.16x = 11,926,908,090.51
  5. Step 5: Solve for x
    x = 11,926,908,090.51/137,699.16
  6. Step 6: Final answer
    x = 86,615.69

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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.