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Finding the Fourth Proportional to 159,368.96, 219,899.12 and 98,954.30

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Solution

The fourth proportional to 159,368.96, 219,899.12 and 98,954.30 is: 136,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,368.96 : 219,899.12 = 98,954.30 : x
  2. Step 2: Convert to fraction form
    159,368.96/219,899.12 = 98,954.30/x
  3. Step 3: Cross multiply
    159,368.96x = 219,899.12 × 98,954.30
  4. Step 4: Simplify right side
    159,368.96x = 21,759,963,490.22
  5. Step 5: Solve for x
    x = 21,759,963,490.22/159,368.96
  6. Step 6: Final answer
    x = 136,538.28

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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.