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Finding the Fourth Proportional to 178,045.49, 245,663.48 and 105,412.31

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Solution

The fourth proportional to 178,045.49, 245,663.48 and 105,412.31 is: 145,445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,045.49 : 245,663.48 = 105,412.31 : x
  2. Step 2: Convert to fraction form
    178,045.49/245,663.48 = 105,412.31/x
  3. Step 3: Cross multiply
    178,045.49x = 245,663.48 × 105,412.31
  4. Step 4: Simplify right side
    178,045.49x = 25,895,954,865.89
  5. Step 5: Solve for x
    x = 25,895,954,865.89/178,045.49
  6. Step 6: Final answer
    x = 145,445.72

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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.