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Finding the Fourth Proportional to 229,688.14, 316,987.39 and 137,810.86

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Solution

The fourth proportional to 229,688.14, 316,987.39 and 137,810.86 is: 190,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,688.14 : 316,987.39 = 137,810.86 : x
  2. Step 2: Convert to fraction form
    229,688.14/316,987.39 = 137,810.86/x
  3. Step 3: Cross multiply
    229,688.14x = 316,987.39 × 137,810.86
  4. Step 4: Simplify right side
    229,688.14x = 43,684,304,825.06
  5. Step 5: Solve for x
    x = 43,684,304,825.06/229,688.14
  6. Step 6: Final answer
    x = 190,189.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.