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Finding the Fourth Proportional to 202,051.02, 278,842.86 and 111,406.71

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Solution

The fourth proportional to 202,051.02, 278,842.86 and 111,406.71 is: 153,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,051.02 : 278,842.86 = 111,406.71 : x
  2. Step 2: Convert to fraction form
    202,051.02/278,842.86 = 111,406.71/x
  3. Step 3: Cross multiply
    202,051.02x = 278,842.86 × 111,406.71
  4. Step 4: Simplify right side
    202,051.02x = 31,064,965,639.59
  5. Step 5: Solve for x
    x = 31,064,965,639.59/202,051.02
  6. Step 6: Final answer
    x = 153,748.13

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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.