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Finding the Fourth Proportional to 194,547.78, 268,475.94 and 105,123.78

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Solution

The fourth proportional to 194,547.78, 268,475.94 and 105,123.78 is: 145,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,547.78 : 268,475.94 = 105,123.78 : x
  2. Step 2: Convert to fraction form
    194,547.78/268,475.94 = 105,123.78/x
  3. Step 3: Cross multiply
    194,547.78x = 268,475.94 × 105,123.78
  4. Step 4: Simplify right side
    194,547.78x = 28,223,205,651.85
  5. Step 5: Solve for x
    x = 28,223,205,651.85/194,547.78
  6. Step 6: Final answer
    x = 145,070.82

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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.