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Finding the Fourth Proportional to 207,840.96, 286,916.40 and 121,788

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Solution

The fourth proportional to 207,840.96, 286,916.40 and 121,788 is: 168,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,840.96 : 286,916.40 = 121,788 : x
  2. Step 2: Convert to fraction form
    207,840.96/286,916.40 = 121,788/x
  3. Step 3: Cross multiply
    207,840.96x = 286,916.40 × 121,788
  4. Step 4: Simplify right side
    207,840.96x = 34,942,974,523.20
  5. Step 5: Solve for x
    x = 34,942,974,523.20/207,840.96
  6. Step 6: Final answer
    x = 168,123.62

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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.