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Finding the Fourth Proportional to 145,003.68, 200,089.44 and 83,746.08

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Solution

The fourth proportional to 145,003.68, 200,089.44 and 83,746.08 is: 115,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,003.68 : 200,089.44 = 83,746.08 : x
  2. Step 2: Convert to fraction form
    145,003.68/200,089.44 = 83,746.08/x
  3. Step 3: Cross multiply
    145,003.68x = 200,089.44 × 83,746.08
  4. Step 4: Simplify right side
    145,003.68x = 16,756,706,249.40
  5. Step 5: Solve for x
    x = 16,756,706,249.40/145,003.68
  6. Step 6: Final answer
    x = 115,560.56

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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.