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Finding the Fourth Proportional to 159,159.47, 219,640.41 and 87,538.05

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Solution

The fourth proportional to 159,159.47, 219,640.41 and 87,538.05 is: 120,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,159.47 : 219,640.41 = 87,538.05 : x
  2. Step 2: Convert to fraction form
    159,159.47/219,640.41 = 87,538.05/x
  3. Step 3: Cross multiply
    159,159.47x = 219,640.41 × 87,538.05
  4. Step 4: Simplify right side
    159,159.47x = 19,226,893,192.60
  5. Step 5: Solve for x
    x = 19,226,893,192.60/159,159.47
  6. Step 6: Final answer
    x = 120,802.70

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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.