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Finding the Fourth Proportional to 157,357.08, 235,724.58 and 74,309.40

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Solution

The fourth proportional to 157,357.08, 235,724.58 and 74,309.40 is: 111,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,357.08 : 235,724.58 = 74,309.40 : x
  2. Step 2: Convert to fraction form
    157,357.08/235,724.58 = 74,309.40/x
  3. Step 3: Cross multiply
    157,357.08x = 235,724.58 × 74,309.40
  4. Step 4: Simplify right side
    157,357.08x = 17,516,552,105.05
  5. Step 5: Solve for x
    x = 17,516,552,105.05/157,357.08
  6. Step 6: Final answer
    x = 111,317.22

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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.