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Finding the Fourth Proportional to 157,056, 235,659.60 and 78,177.12

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Solution

The fourth proportional to 157,056, 235,659.60 and 78,177.12 is: 117,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,056 : 235,659.60 = 78,177.12 : x
  2. Step 2: Convert to fraction form
    157,056/235,659.60 = 78,177.12/x
  3. Step 3: Cross multiply
    157,056x = 235,659.60 × 78,177.12
  4. Step 4: Simplify right side
    157,056x = 18,423,188,828.35
  5. Step 5: Solve for x
    x = 18,423,188,828.35/157,056
  6. Step 6: Final answer
    x = 117,303.31

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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.