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Finding the Fourth Proportional to 202,101, 278,895.63 and 111,465.39

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Solution

The fourth proportional to 202,101, 278,895.63 and 111,465.39 is: 153,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,101 : 278,895.63 = 111,465.39 : x
  2. Step 2: Convert to fraction form
    202,101/278,895.63 = 111,465.39/x
  3. Step 3: Cross multiply
    202,101x = 278,895.63 × 111,465.39
  4. Step 4: Simplify right side
    202,101x = 31,087,210,167.25
  5. Step 5: Solve for x
    x = 31,087,210,167.25/202,101
  6. Step 6: Final answer
    x = 153,820.17

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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.