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Finding the Fourth Proportional to 157,111.60, 235,278.60 and 100,865.20

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Solution

The fourth proportional to 157,111.60, 235,278.60 and 100,865.20 is: 151,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,111.60 : 235,278.60 = 100,865.20 : x
  2. Step 2: Convert to fraction form
    157,111.60/235,278.60 = 100,865.20/x
  3. Step 3: Cross multiply
    157,111.60x = 235,278.60 × 100,865.20
  4. Step 4: Simplify right side
    157,111.60x = 23,731,423,044.72
  5. Step 5: Solve for x
    x = 23,731,423,044.72/157,111.60
  6. Step 6: Final answer
    x = 151,048.19

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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.