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Finding the Fourth Proportional to 229,492.90, 316,724.88 and 138,898.72

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Solution

The fourth proportional to 229,492.90, 316,724.88 and 138,898.72 is: 191,695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,492.90 : 316,724.88 = 138,898.72 : x
  2. Step 2: Convert to fraction form
    229,492.90/316,724.88 = 138,898.72/x
  3. Step 3: Cross multiply
    229,492.90x = 316,724.88 × 138,898.72
  4. Step 4: Simplify right side
    229,492.90x = 43,992,680,424.15
  5. Step 5: Solve for x
    x = 43,992,680,424.15/229,492.90
  6. Step 6: Final answer
    x = 191,695.17

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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.