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Finding the Fourth Proportional to 208,123.78, 286,971.40 and 153,754.62

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Solution

The fourth proportional to 208,123.78, 286,971.40 and 153,754.62 is: 212,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,123.78 : 286,971.40 = 153,754.62 : x
  2. Step 2: Convert to fraction form
    208,123.78/286,971.40 = 153,754.62/x
  3. Step 3: Cross multiply
    208,123.78x = 286,971.40 × 153,754.62
  4. Step 4: Simplify right side
    208,123.78x = 44,123,176,809.05
  5. Step 5: Solve for x
    x = 44,123,176,809.05/208,123.78
  6. Step 6: Final answer
    x = 212,004.50

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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.