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Finding the Fourth Proportional to 147,639, 203,752.77 and 83,997.30

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Solution

The fourth proportional to 147,639, 203,752.77 and 83,997.30 is: 115,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,639 : 203,752.77 = 83,997.30 : x
  2. Step 2: Convert to fraction form
    147,639/203,752.77 = 83,997.30/x
  3. Step 3: Cross multiply
    147,639x = 203,752.77 × 83,997.30
  4. Step 4: Simplify right side
    147,639x = 17,114,682,547.52
  5. Step 5: Solve for x
    x = 17,114,682,547.52/147,639
  6. Step 6: Final answer
    x = 115,922.50

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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.