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Finding the Fourth Proportional to 101,206.87, 139,718.86 and 65,417.22

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Solution

The fourth proportional to 101,206.87, 139,718.86 and 65,417.22 is: 90,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,206.87 : 139,718.86 = 65,417.22 : x
  2. Step 2: Convert to fraction form
    101,206.87/139,718.86 = 65,417.22/x
  3. Step 3: Cross multiply
    101,206.87x = 139,718.86 × 65,417.22
  4. Step 4: Simplify right side
    101,206.87x = 9,140,019,239.23
  5. Step 5: Solve for x
    x = 9,140,019,239.23/101,206.87
  6. Step 6: Final answer
    x = 90,310.27

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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.