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Finding the Fourth Proportional to 157,098.60, 235,388.70 and 78,042.60

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Solution

The fourth proportional to 157,098.60, 235,388.70 and 78,042.60 is: 116,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,098.60 : 235,388.70 = 78,042.60 : x
  2. Step 2: Convert to fraction form
    157,098.60/235,388.70 = 78,042.60/x
  3. Step 3: Cross multiply
    157,098.60x = 235,388.70 × 78,042.60
  4. Step 4: Simplify right side
    157,098.60x = 18,370,346,158.62
  5. Step 5: Solve for x
    x = 18,370,346,158.62/157,098.60
  6. Step 6: Final answer
    x = 116,935.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.