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Finding the Fourth Proportional to 229,653.18, 316,947.60 and 127,688.76

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Solution

The fourth proportional to 229,653.18, 316,947.60 and 127,688.76 is: 176,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,653.18 : 316,947.60 = 127,688.76 : x
  2. Step 2: Convert to fraction form
    229,653.18/316,947.60 = 127,688.76/x
  3. Step 3: Cross multiply
    229,653.18x = 316,947.60 × 127,688.76
  4. Step 4: Simplify right side
    229,653.18x = 40,470,646,028.98
  5. Step 5: Solve for x
    x = 40,470,646,028.98/229,653.18
  6. Step 6: Final answer
    x = 176,225.06

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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.