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Finding the Fourth Proportional to 157,285.53, 235,941.66 and 138,783.51

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Solution

The fourth proportional to 157,285.53, 235,941.66 and 138,783.51 is: 208,187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,285.53 : 235,941.66 = 138,783.51 : x
  2. Step 2: Convert to fraction form
    157,285.53/235,941.66 = 138,783.51/x
  3. Step 3: Cross multiply
    157,285.53x = 235,941.66 × 138,783.51
  4. Step 4: Simplify right side
    157,285.53x = 32,744,811,730.03
  5. Step 5: Solve for x
    x = 32,744,811,730.03/157,285.53
  6. Step 6: Final answer
    x = 208,187.06

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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.