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Finding the Fourth Proportional to 85,735.84, 128,603.76 and 35,788.68

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Solution

The fourth proportional to 85,735.84, 128,603.76 and 35,788.68 is: 53,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,735.84 : 128,603.76 = 35,788.68 : x
  2. Step 2: Convert to fraction form
    85,735.84/128,603.76 = 35,788.68/x
  3. Step 3: Cross multiply
    85,735.84x = 128,603.76 × 35,788.68
  4. Step 4: Simplify right side
    85,735.84x = 4,602,558,813.44
  5. Step 5: Solve for x
    x = 4,602,558,813.44/85,735.84
  6. Step 6: Final answer
    x = 53,683.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.