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Finding the Fourth Proportional to 113,117, 156,115.23 and 65,370.74

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Solution

The fourth proportional to 113,117, 156,115.23 and 65,370.74 is: 90,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,117 : 156,115.23 = 65,370.74 : x
  2. Step 2: Convert to fraction form
    113,117/156,115.23 = 65,370.74/x
  3. Step 3: Cross multiply
    113,117x = 156,115.23 × 65,370.74
  4. Step 4: Simplify right side
    113,117x = 10,205,368,110.37
  5. Step 5: Solve for x
    x = 10,205,368,110.37/113,117
  6. Step 6: Final answer
    x = 90,219.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.