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Finding the Fourth Proportional to 156,741.20, 235,111.80 and 83,013.20

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Solution

The fourth proportional to 156,741.20, 235,111.80 and 83,013.20 is: 124,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,741.20 : 235,111.80 = 83,013.20 : x
  2. Step 2: Convert to fraction form
    156,741.20/235,111.80 = 83,013.20/x
  3. Step 3: Cross multiply
    156,741.20x = 235,111.80 × 83,013.20
  4. Step 4: Simplify right side
    156,741.20x = 19,517,382,875.76
  5. Step 5: Solve for x
    x = 19,517,382,875.76/156,741.20
  6. Step 6: Final answer
    x = 124,519.80

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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.