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Finding the Fourth Proportional to 229,702.66, 316,964.30 and 137,817.06

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Solution

The fourth proportional to 229,702.66, 316,964.30 and 137,817.06 is: 190,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,702.66 : 316,964.30 = 137,817.06 : x
  2. Step 2: Convert to fraction form
    229,702.66/316,964.30 = 137,817.06/x
  3. Step 3: Cross multiply
    229,702.66x = 316,964.30 × 137,817.06
  4. Step 4: Simplify right side
    229,702.66x = 43,683,087,950.96
  5. Step 5: Solve for x
    x = 43,683,087,950.96/229,702.66
  6. Step 6: Final answer
    x = 190,172.32

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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.