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Finding the Fourth Proportional to 98,969.24, 136,640.70 and 65,037.93

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Solution

The fourth proportional to 98,969.24, 136,640.70 and 65,037.93 is: 89,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,969.24 : 136,640.70 = 65,037.93 : x
  2. Step 2: Convert to fraction form
    98,969.24/136,640.70 = 65,037.93/x
  3. Step 3: Cross multiply
    98,969.24x = 136,640.70 × 65,037.93
  4. Step 4: Simplify right side
    98,969.24x = 8,886,828,281.75
  5. Step 5: Solve for x
    x = 8,886,828,281.75/98,969.24
  6. Step 6: Final answer
    x = 89,793.85

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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.