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Finding the Fourth Proportional to 147,642, 203,746.14 and 80,574

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Solution

The fourth proportional to 147,642, 203,746.14 and 80,574 is: 111,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,642 : 203,746.14 = 80,574 : x
  2. Step 2: Convert to fraction form
    147,642/203,746.14 = 80,574/x
  3. Step 3: Cross multiply
    147,642x = 203,746.14 × 80,574
  4. Step 4: Simplify right side
    147,642x = 16,416,641,484.36
  5. Step 5: Solve for x
    x = 16,416,641,484.36/147,642
  6. Step 6: Final answer
    x = 111,192.22

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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.