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Finding the Fourth Proportional to 97,671.78, 134,738.34 and 65,785.32

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Solution

The fourth proportional to 97,671.78, 134,738.34 and 65,785.32 is: 90,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,671.78 : 134,738.34 = 65,785.32 : x
  2. Step 2: Convert to fraction form
    97,671.78/134,738.34 = 65,785.32/x
  3. Step 3: Cross multiply
    97,671.78x = 134,738.34 × 65,785.32
  4. Step 4: Simplify right side
    97,671.78x = 8,863,804,813.17
  5. Step 5: Solve for x
    x = 8,863,804,813.17/97,671.78
  6. Step 6: Final answer
    x = 90,750.93

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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.